Ngai-Ching WONG (黃毅青)

 

 

Specality: Functional Analysis, Operator Algebras, Operator Ideals

Link to my Mathscinet records.

Distinguished Professor
Department of Applied Mathematics
National Sun Yat-sen University
Kaohsiung 80424, Taiwan, ROC.

Email: wong@math.nsysu.edu.tw
Tel: +886-7-5252000 ext. 3818 (Office)
Fax: +886-7-5253809

Education:
B. Sc. (1985) The Chinese University of Hong Kong.
M. Phil. (1987) The Chinese University of Hong Kong. (Advisor: Yau-Chuen Wong)
M. Sc. (1989) Purdue University.
Ph. D. (1991) Purdue University. (Advisor: Larry Brown)

Experience:

1.       Distinguished Professor (2011.8 — ), Professor (1997.2 — ), and Associate Professor (1991.8 — 1997.1), Department of Applied Mathematics, National Sun Yat-sen University, Taiwan.

2.       Chairman of Department of Applied Mathematics (2003.8 — 2006.7, 2010.9 — 2010.10), PI of Research Center of Nonlinear Analysis and Optimization (2007.3 — 2013.4), and Head of Execution Section of Computer and Network Center (2002.10 — 2003.7), National Sun Yat-sen University, Taiwan.

3.       Adjunct Professor, Center of Fundamental Science (2013.2 — 2016.7), and Department of Healthcare Administration and Medical Informatics (2019.8 — ), Kaohsiung Medical University, Taiwan.

4.       Visiting Scholar of Goldsmiths’ College, University of London (1999.7 — 1999.11), Chinese Academy of Science at Beijing (1998.6, 2001.7), Chinese University of Hong Kong (2007.7 — 2007.12), Tiangong University (2019.8 — 2019.12).

5.       Part-time Instructor, Department of Mathematics, Hong Kong Polytechnics (1986 — 1987).

 

Honors:

1.       Research Awards (Class A) from Taiwan National Science Council: 1991-2000 (This award contest stopped in 2001).

2.       Research Project PI Awards (Class A) from Taiwan National Science Council /MOST: 2002-2021 (This award contest started in 2002).

3.       Young Faculty Research Award of Sciences, National Sun Yat-sen University, 1993.

4.       Shield of Supervisor of the Best Undergraduate Research Project of the Year 1996, Taiwan National Science Council.

5.       Shield of 10 A-Awards, National Sun Yat-sen University, 2000.

6.       Invited 45 minute speaker, ICCM 2004/2019.

7.       Excellence Award of Research, National Sun Yat-sen University, 2006.

8.       Elite Award of Teaching and Research, National Sun Yat-sen University, 2007-2010.

9.       Keynote speaker of “9th International Pure Mathematics Conference 2008”, held at Islamabad, Pakistan, August 22-24, 2008.

10.   Plenary speaker of “International Conference on Analytic Mathematics and its Applications” (ICAMA’2013), Tianjin, China, Aug. 1-4, 2013.

11.   Plenary speaker of “7th Conference on Function Spaces 2014”, Edwardsville, Illinois, USA, May 20-24, 2014.

12.   Plenary speaker of “Preservers Everywhere”, Szeged, Hungary, 19-23 June, 2017

13.   Distinguished Professorship (Research), National Sun Yat-sen University, August 2011 to July 2017.

14.   Plenary speaker of “7th International Conference on Analytic Mathematics and its Applications” (ICAMA2019), North Minzu University, Yinchuan, Ningxia, China, August 4-8, 2019.

15.   Plenary speaker of “21st International Pure Mathematics Conference (IPMC)”, September 24-26, 2021, Quaid-i-Azam University, Islamabad, Pakistan. (online)

16.   Plenary speaker of “27th International Conference of International Academy of Physical Sciences on Functional and Numerical Analysis (CONIAPS XXVII)”. October 26-28, 2021, Pt. Ravishankar Shukla University, Raipur, India (online).

 

Membership of Editorial Boards of Math Journals:

 

1.      Operators and Matrices (since 2007, SCI journal published by Elements),

2.      Asian-European J. Math. (since 2008, ESCI journal published by World Scientific),

3.      Taiwanese J. Math. (2010-2014, SCI journal published by Taiwan Math Society),

4.      Abstract and Applied Analysis (since 2011, published by Hindawi).

5.      Linear and Multilinear Algera (since 2012, SCI journal published by Taylor and Francis).

6.      Banach Journal of Mathematical Analysis (since 2015, SCI journal published by Duke University Press)

7.      Pure and Applied Functional Analysis (since 2016, published by Yokohama Publishers)

8.      Journal of Mathematics (Since 2020, SCI journa; published by Hindawi).

 

 

 Organizer or chairman of organizing committee of international conferences:

 

1.         Seminars in Functional Analysis 1993, Taiwan, Mar. 13 and June 3-4, 1993.

2.         International Conference in Mathematical Analysis and its Applications 2000, Kaohsiung, Tawian, Jan. 17-21, 2000.

3.         Seminars in Analysis and Fractals, Taiwan, Nov. 11 and Dec. 13, 2000, and Mar. 3, Jun. 2 and Nov. 3, 2001.

4.         Seminars in Functional Analysis, Taiwan, Sept. 19, Oct. 27 and Dec. 29, 2001.

5.         Workshop on Pure and Applied Mathmatics 2001, Tsinchu, Taiwan, Dec. 14-15, 2001.

6.         Seminars in Analysis and its Applications 2002, Taiwan, Mar. 23, May 11, Jun. 22, Oct. 5-6 and Dec. 14-15, 2002.

7.         Seminars in Analysis and its Applications 2003, Taidong, Taiwan, Mar. 15-16, 2003.

8.         NCTS Workshop on Functional Analysis, Kaohsiung, Taiwan, Dec. 25-28, 2004.

9.         NCTS Workshop on Analysis 2006, Taidong, Taiwan, Jan. 14, 2006.

10.     Workshop on Jordan structures in analysis and geometry 2006, Kaohsiung, Taiwan, April 3-7, 2006.

11.     Workshop on Matrices and Operators 2009, Kaohsiung, Taiwan, July 3-4, 2009.

12.     Abstract Harmonic Analysis 2009,Kaohsiung, Taiwan, Dec. 18-22, 2010.

13.     NCTS Colloquium on Jordan theory and analysis 2010, Tsinchu, Taiwan,  April 8-12, 2010.

14.     The Eleventh Workshop on Numerical Ranges and Numerical Radii 2012, Kaohsiung, Taiwan, July 9-12, 2012.

15.     Events of Functional Analysts at NSYSU, Kaohsiung, Taiwan, May 19-20, 2016.

16.     Mini-Workshop on Functional and Harmonic Analysts at NSYSU, Kaohsiung, Taiwan, Oct. 13, 2016

17.     Abstract Harmonic Analysis 2018, Kaohsiung, Taiwan, June 25-29, 2018.

18.     TIMSF Workshop of Opertor Algebra and Harmonic Analysis 2015, 2017, 2019, Sanya, Hainan, China, May 19-23, 2015, Dec. 18-22, 2017, and Dec. 9-13, 2019.

 

Supervision of graduate thesis students / postdoctoral fellows: 

Master：21 (+ 2 in progress),   PhD：12 (+ 2 in progress),      Postdoc: 18

 

Recent research interests and achievements.

 

As of 2020.03.24, Ngai-Ching Wong, has published totally 182 research papers in mathematics.  Among them, 162 was published in math research journals indexed in the list of WOS from ISI SCIE. There are 1813 citation records to his papers indexed by WOS, with an h-index 20. Wong has made important contributions to the Banach-Stone problem for function spaces and operator algebras.  His results are recorded in the famous collections of Fleming and Jamison, “Isometries on Banach spaces: function spaces, I & II (Chapman & Hall/CRC), and also in Chapters 9 and 10 of the new version of the classic of Narici and Beckenstein, “Topological Vector Spaces”, 2nd ed. (2012).

 

Below list some major contributions of Wong in recent years.

A.     Together with Chi-Wai Leung, Anthony To-Ming Lau and Chi-Keung Ng, Wong has studied the noncommutative  spaces.  In particular, the geometry of the positive contractive part and the positive sphere of the unit ball of an  space are showed to determine completely the Jordan structure of the underlying -algebra .  Their results apply to the study of the Fourier algebra  of a locally compact group or quantum group , and verify that the metric semigroup of the positive norm one functions in  determines  upto opposition.  Their contribution appears in a series of recent papers, including

1.       Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Bounded positive parts of noncommutative -spaces determine Jordan structures”, Linear Algebra and Applications, 519 (2017) pp. 102-110.

2.       Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semigroups that determine locally compact groups”, Quarterly J. Math. 69 (2018), 501–508.

3.       Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, Metric preserving bijection between thin positive bells of non-commutative  -spaces, J. Operator Theory 80, Issue 2 (2018),  429-452.

4.       Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semi-groups of normal states determine F-algebras”, Quarterly J. Math 70 (2019), Issue 2, 429-450.

 

B.     Together with Chi-Keung Ng, Wong have finished two new and complete classification schemes of C*-algebras, in parallel with the seminal works of F. J. Murray and J. Von Neumann for W*-algebras.  Instead of using projections in the algebras, they used positive elements (following Cuntz and Pedersen) and open projections (following Peligrad and Zsido) for the classification tools. Their results appeared in

5.       “A Murray-von Neumann type classification of C*-algebras”, in “Operator semigroups meet complex analysis, harmonic analysis and mathematical physics”, Operator Theory: Advances and Applications, vol. 250, 369–395, Springer International Publ., 2015.

6.        “On the decomposition into discrete, type II and type III C*-algebras”, Math Proc. Camb. Phil. Soc., 165, Issue 3 (2018) , 475-509.  

7.        “Comparisons of equivalence relations on open projections”, J. Operator Theory 74, Issue 1, (2015), 101-123.

 

C.     Ngai-Ching Wong has obtained a rather deep and complete description of linear maps between operator algebras, which preserve norms, disjointness or orthogonality.  Together with Chung-Wen Tsai and Chi-Wai Leung, Wong provided a complete description of disjointness/orthogonality preserving linear maps between W*-algebras in

8.        “Linear disjointness preservers of W*-algebras”, Math. Z., 270 (2012), no. 3-4, 699–708.

These maps are exactly the algebra isomorphisms followed by a multiplier, i.e., . 

       Together with Anthony T.-M. Lau, Wong obtained a similar result for those disjointness/orthogonality preserving linear maps between preduals of W*-algebras, .  More precisely, such a map is a Jordan homomorphism  following a multiplication .  Consequently, they applied the result to Fourier algebras , which are preduals of the reduced group W*-algebra  They showed that every disjointness/ orthogonality preserving linear map  between the Fourier or the Fourier-Stieltjes of two locally compact groups carries the form ,  where  is a topological group isomorphism and  is a multiplier.  See, for details,

9.        “Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups”, J. Funct. Anal., 265(4) (2013), 562–593.

 

D.     In answering one of the four open problems raised by Micheal Frank about Hilbert C*-modules, Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong published a series of papers:

10.     “Linear orthogonality preservers of Hilbert bundles”, J. Australian Math. Soc., 89 (2010), no. 2, 245–254.

11.     “Linear orthogonality preservers of Hilbert C*-modules over C*-algebras with real rank zero”, Proc. Amer. Math. Soc., 140 (2012), no. 9, 3151–3160.

12.     “Linear orthogonality preservers of Hilbert C*-modules”, J. Operator Theory, 71:2(2014), 571–584.

They showed that every orthogonality preserving module map  between Hilbert A-modules preserving the A-valued inner products

is a unitary operator following a multiplier.  More precisely,

Where  is a central multiplier of the C*-algebra.

On the other hand, Ming-Hsiu Hsu and Ngai-Ching Wong also published a complete characterization of isometries between real C*-algebras in

13.    “Isometries of real Hilbert C*-modules”, J. Math. Anal. Appl., 438(2), 2016, 807–827

 

E.     Together with Jen-Chi Yao, B. T. Kien and D. R. Sahu, Ngai-Ching Wong have achieved quite a few good results in fixed point theory and algorithms, with applications to control and optimization theory.  Samples of their results can be found in

14.    “Necessary conditions for multiobjective optimal control problems with free end-time”, SIAM J. Control and Optimization, 47 (2008),  no. 5, 2251--2274.

15.     “A unified hybrid iterative method for solving variational inequalities involving generalized contractive mappings”, SIAM J. Control and Optimization, Vol. 50, No. 4 (2012), 2335–2354.

 

 

 

 

Personal Data:
Born: 1962 in Hong Kong.
Nationality: Taiwan, R.O.C.
Married (wife: Yin-Wan).
Kids: a daughter (Elaine) and a son (Alan).

Fetch the Wong's Family Book in Chinese.
Get Big5 code htm file (485k) Get Big5 code htm file in zip format (47k)
Get GB code htm file (493k) Get GB code htm file in zip format (47k)

 

Last modified: 2024/02/29

Journal Papers:

1.                         Y.-C. Wong and Ngai-Ching Wong, "Topologies and bornologies determined by operator ideals," Mathematische Annalen, vol. 282, pp. 587--614, 1988. Get .pdf file

2.                         Ngai-Ching Wong and Y.-C. Wong, "The bornologically surjective hull of an operator ideal on locally convex spaces," Mathematische Nachrichten, vol. 160, pp. 265--275, 1993. Get .pdf file

3.                         Ngai-Ching Wong, "Topologies and bornologies determined by operator ideals, II," Studia Mathematica, vol. 111, no. 2, pp. 153--162, 1994. Get .pdf file

4.                         Ngai-Ching Wong, "Left quotients of a C*-algebra, I : Representation via vector sections," Journal of Operator Theory, vol. 32, pp. 185--201, 1994. Get .pdf file

5.                         H.-L. Gau and Ngai-Ching Wong, "Some converses of the strong separation theorem," Proceedings of the American Mathematical Society, vol. 124, no. 8, pp. 2443--2449, 1996. Get .pdf file

6.                         J.-S. Jeang and Ngai-Ching Wong, "Weighted composition operators of C0(X)'s," Journal of Mathematical Analysis and Applications, vol. 201, pp. 981--993, 1996. Get .pdf file

7.                         J.-S. Jeang and Ngai-Ching Wong, "Into isometries of C0(X,E)‘s," Journal of Mathematical Analysis and Applications, vol. 207, pp. 286--290, 1997. Get .pdf file

8.                         N.-K. Ho and Ngai-Ching Wong, "Space-filling curves and Hausdorff dimensions," Southeast Asian Bulletin of Mathematics, vol. 21, pp. 105--111, 1997. Get .pdf file

9.                         Q.~A. Ansari, Ngai-Ching Wong, and J.-C. Yao, "On the existence of nonlinear inequalities," Appl. Math. Letters, vol. 12, no. 5, 89-92, 1999. Get .pdf file

10.                     C.-C. Tseng and Ngai-Ching Wong, "Invertibility in infinite dimensional spaces," Proc. Amer. Math. Soc., vol. 128, pp. 573-581, 2000. Get .pdf file

11.                     L. G. Brown and Ngai-Ching Wong, "Left quotients of a C*-algebra, II : Atomic parts of left quotients," J. Operator Theory, vol. 44, 207-222, 2000. Get .pdf file (pre-production version)

12.                     Lawrence G. Brown and Ngai-Ching Wong, “On C*-algebras cut down by closed projections: Characterizing elements via the extreme boundary”, Taiwanese J. Math., vol. 5, no. 2, 2001, 433-441. Get .pdf file

13.                     Juh-Yin Chen, Ngai-Ching Wong and Jen-Chih Yao, “Algorithm for generalized co-complementarity problems in Banach spaces”, Computers and Mathematics with Applications, vol. 43 (1-2), 2002, 49—54. Get .pdf file

14.                     Rodica-Mihaela Danet and Ngai-Ching Wong, Hahn-Banach-Kantorovich Type Theorems With the range space not necessarily (o)-complete, Taiwanese J. Math., vol. 6, no. 2 (2002), 241—246. Get .pdf file

15.                     Rodica-Mihaela Danet and Ngai-Ching Wong, “Extension Theorems without Dedekind completeness ”, Rendiconti del Circolo Mathematico di Palermo., Series II, Supp. 68 (2002), 381--387. Get .pdf file

16.                     Hwa-Long Gau, Jyh-Shyang Jeang and Ngai-Ching Wong, “A Banach-Stone theorem for separating linear bijections”, Taiwanese J. Math., vol. 6, no. 3 (2002), 399-403. Get .pdf file

17.                     Jyh-Shyang Jeang and Ngai-Ching Wong, ``Isometric shifts on C0(X)'s'', J. Math. Anal. Appl., vol. 274, no. 2 (2002), 772-787. Get .pdf file.

18.                     Mikhail A. Chebotar, Wen-Fong Ke, Pjek-Hwee Lee and Ngai-Ching Wong, “ Mappings preserving zero products”, Studia Math., vol. 155, no. 1 (2003), 77-94. Get .pdf file

19.                     Jyh-Shyang Jeang and Ngai-Ching Wong, ``Disjointness preserving Fredholm operators of C0(X)'s'', J. Operator Theory, vol. 49, no. 1 (2003), 61-75. Get .pdf file

20.                     Hwa-Long Gau, Jyh-Shyang Jeang and Ngai-Ching Wong, “Biseparating linear maps between continuous vector-valued function spaces”, J. Australian Math. Soc., Series A, vol. 74, no. 1 (2003), 101-111. Get .pdf file

21.                     Yin-Fen Lin and Ngai-Ching Wong, “Constructing space-filling curves of compact connected manifolds”, Computers and Mathematics with Applications, 45 (2003), no. 12, 1871-1881. Get .dvi file (50K, skip pictures), Get .pdf file (489K, two pictures)

22.                     Oauyl Chadli, Ngai-Ching Wong and Jen-Chih Yao,  “Equilibrium Problems with Applications to Eigenvalue Problems”, J. Optimization Theory and Applications, vol. 117, no. 2 (2003), 245-266. Get .pdf file

23.                     J.-S. Jeang and Ngai-Ching Wong, "On the Banach-Stone Problem," Studia Math., vol. 155, no. 2 (2003), 95-105. Get .pdf file

24.                     Wen-Fong Ke, Bing-Ren Li and Ngai-Ching Wong, “Zero product preserving maps of continuous operator valued functions”, Proc. Amer. Math. Soc., 132 (2004), 1979-1985. Get .pdf file

25.                     Lawrence G. Brown and Ngai-Ching Wong, “Unbounded disjointness preserving linear functionals”, Monatshefte fur Mathematik, 141 (2004), no. 1, 21 - 32. Get .pdf file

26.                     Meng-Han Li and Ngai-Ching Wong, ``Sums of angles of star polygons'', Southeast Asian Bulletin of Math., 28 (2004), no. 3, 437-446. Get .pdf file

27.                     Cho-Ho Chu and Ngai-Ching Wong, “Isometries between C*-algebras”, Revista Matematica Iberoamericana, 20 (2004), no. 1, 87--105. Get .dvi file (74K), Get .pdf file (206K).

28.                     Ngai-Ching Wong, “Triple homomorphisms of operators algebras”, Southeast Asian Bulletin of Math., 29 (2005), 401–407. Get .pdf file

29.                     Lai-Jiu Lin, Ngai-Ching Wong and Zenn-Tsuen Yu, “Continuous selections and fixed points of multi-valued mappings on non-compact or non-metrizable spaces”, Proc. Amer. Math. Soc., 133 (2005), no. 11, 3421--3427. Get .pdf file

30.                     Yin-Fen Lin and Ngai-Ching Wong, ``Power compact disjointness preserving maps of continuous functions'', Bulletin of the Irish Mathematical Society, 55 (2005), 7–14. Get .pdf file

31.                     L. C. Zeng, G. M. Lee and Ngai-Ching Wong, “Ishikawa iteration with errors for approximating fixed points of strictly pseudocontractive mappings of browder-petryshyn type”, Taiwanese J. Math., 10 (2006), no. 1, 87--99. Get .pdf file

32.                     Lu-chuan Ceng, Ngai-Ching Wong and Jen-Chih Yao, “Implicit predictor-corrector iteration process for finitely many asymptotically (quasi-) nonexpansive mappings”,  Journal of Inequalities and Applications, 2006, Art. ID 65983, 11 pp. Get .pdf file

33.                     Lu-Chuan Zeng, Ngai-Ching Wong, and Jen-Chih Yao, “Strong convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type”, Taiwanese J. Math., 10 (2006), no. 4, 837-849. Get .pdf file

34.                     Yen-Cherng Lin, Ngai-Ching Wong and Jen-Chih Yao, “Strong Convergence Theorems of Ishikawa Iteration Process With Errors For Fixed points of Lipschitz Continuous Mappings in Banach Spaces”, Taiwanese J. Math., 10 (2006), no. 2, 543-552. Get .pdf file

35.                     Lu-Chuan Zeng, Ngai-Ching Wong and Jen-Chih Yao, “Convergence of  hybrid steepest-descent methods for generalized variational inequalities”, Acta Math Sinica (english series), 22 (2006), no.1, 1 - 12. Get .pdf file

36.                     Jong-Hui Liu and Ngai-Ching Wong, “2-Local automorphisms of operator algebras”, J. Math. Anal. Appl., 321 (2006), no. 2, 741-750.  Get .pdf file

37.                     Li-Shu Chen, Jyh-Shyang Jeang and Ngai-Ching Wong, ``Disjointness preserving shifts on C0(X)'s'', J. Math. Anal. Appl., 325 (2007), no. 1, 400-421. Get .dvi file (321K, needs xypic fonts), Get .pdf file (303K)

38.                     Bui Trong Kien, Ngai-Ching Wong and Jen-Chih Yao, “On the solution existence of generalized quasivariational inequalities with discontinuous functions”, J. Optimization Theory and Application, 135(3) (2007), 515-530. Get .pdf file

39.                     Lu-Chuan Zeng, Ngai-Ching Wong and Jen-Chih Yao, “Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities”, J. Optimization Theory and Application, 132(1) (2007), 51-69. Get .pdf file

40.                     Jong-Hui Liu, and Ngai-Ching Wong, “Local automorphisms of operator algebras”, Taiwanese J. Math., 11 (2007), no. 3, 611-619. Get .pdf file

41.                     Jinchuan Hou, Chi-Kwong Li, and Ngai-Ching Wong, “Jordan isomorphisms and maps preserving spectra of certain operator products”, Studia Math., 184 (2008), 31-47. Get .pdf file

42.                     Bui Trong Kien, Mu-Ming Wong, Ngai-Ching Wong, “On the degree theory for general mappings of monotone type”,  J. Math. Anal. Appl.,  340(1) (2008), 707-720. Get .pdf file

43.                     Bui Trong Kien, Ngai-Ching Wong and Jen-Chih Yao, “Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators”, Nonlinear Analysis, TMA, 68(9), 2008, 2859-2871. Get .pdf file

44.                     Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, “Property T for non-unital C*-algebras”, J. Math. Anal. Appl., 341(2), 2008,  1102-1106. Get .pdf file

45.                     Lu-Chuan Ceng, Bui Trong Kien and Ngai-Ching Wong, “Convergence analysis of a hybrid relaxed-extragradient method for monotone variational inequalities and fixed point problems”, Taiwanese J. Math., 12 (2008), no. 9, 2549-2568. Get .pdf file

46.                     Bui Trong Kien, Ngai-Ching Wong and Jen-Chih Yao, “On the solution existence of implicit quasivariational inequalities with discontinuous multifunctions”, Optimization, 57 (2008),  no. 4, 515--526.  Get .pdf file

47.                     L. C. Ceng and Ngai-Ching Wong, “Viscosity approximation methods for equilibrium problems and fixed point problems of nonlinear semigroups”, Taiwanese J. Math., in press. Get .pdf file

48.                     Q. H. Ansari*, Y. C. Liou, V. Obukhovskii and N. C. Wong, “Topological degree methods in boundary value problems for degenerate functional differential inclusions with infinite delay”, Taiwanese J. Math., 12  (2008),  no. 7, 1827--1847.  Get .pdf file

49.                     Lu-Chuan Zeng, Ngai-Ching Wong and Jen-Chih Yao, “Convergence analysis of iterative sequences for a pair of mappings in Banach spaces”, Acta Math Sinica (english series), 24 (2008),  no. 3, 463--470. Get .pdf file

50.                     D. R. Sahu, N. C. Wong and J. C. Yao, “Solving variational inequalities involving nonexpansive type mappings”, Nonlinear Analysis, Series A: Theory, Methods & Applications, 69  (2008),  no. 12, 4732--4753.  Get .pdf file

51.                     Mark C. Ho, Mu-Ming Wong and Ngai-Ching Wong, “The denseness of algebraic elements in a C*-algebra”, Taiwanese J. Math., 12  (2008),  no. 9, 2593-2600. Get .pdf

52.                     Jin Xi Chen, Zi Li Chen and Ngai-Ching Wong, “A Banach-Stone Theorem for Riesz Isomorphisms of Banach Lattices”, Proc. AMS., 136  (2008),  no. 11, 3869--3874.. Get .pdf file

53.                     Hwa-Long Gau, Chih-Jen Wang and Ngai-Ching Wong, “Invertibility and Fredholmness of linear sums of quadratic, k-potent and nilpotent operators”, Oper. Matrices  2  (2008),  no. 2, 193--199. Get .pdf file

54.                     B. T. Kien, N.-C. Wong and J.-C. Yao, “Necessary conditions  for multiobjective optimal control problems with free end-time”, SIAM J. Control and Optimization, 47 (2008),  no. 5, 2251--2274. Get .pdf file

55.                     Lu-Chuan Ceng, Ngai-Ching Wong, and Jen-Chih Yao, “Fixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumptions”, Computers and Mathematics with Applications, 56 (2008), no. 9, 2312--2322.   Get .pdf file

56.                     B. T. Kien, Y. C. Liou, N.-C. Wong and J.-C. Yao, “Subgradients of value functions in parametric dynamic programming”, European J. Operation Research, 193 (2009), no. 1, 12--22.  Get .pdf file

57.                     Bui Trong Kien, Mu-Ming Wong, Ngai-Ching Wong, and Jen-Chih Yao, “Degree theory for generalized variational inequalities: solution existence and stability”, European J. Operation Research, 192  (2009),  no. 3, 730--736. Get .pdf file

58.                     Bui Trong Kien, Mu-Ming Wong, Ngai-Ching Wong and Jen-Chih Yao, “Solution existence of variational inequalities with pseudomonotone operators in the sense of Brezis”, J. Optimization Theory and Application, 140 (2009),  no. 2, 249--263. Get .pdf file

59.                     Yin-Fen Lin and Ngai-Ching Wong, ``The structure of compact disjointness preserving maps of continuous functions'', Math. Nachr., 282, No. 7 (2009), 1009 – 1021.  Get .pdf file

60.                     D. R. Sahu, N. C. Wong and J. C. Yao,  “On convergence analysis of an iterative algorithm for finding common solution of generalized mixed equilibrium problems and fixed point problems”, Mathematical Inequalities & Applications, 12 (2009),  no. 3, 625--649. Get .pdf file

61.                     B. T. Kien,  N. Q.  Huy and N. C. Wong*, “On the solution existence of  generalized vector quasi-equilibrium problems with discontinuous multifunctions”, Taiwanese J. Math., 13  (2009),  no. 2B, 757--775. Get .pdf file

62.                     Chi-Wai Leung, Chung-Wen Tsai and Ngai-Ching Wong*, “Separating linear maps of continuous fields of Banach spaces”, Asian-European J. Math., 2 (2009), no. 3, 445-452. Get .pdf file

63.                     Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Unitaries in JB-algebras”, J. Math. Anal. Appl., 360(2) (2009), 491-494. Get .pdf file

64.                     Chi-Wai Leung and Ngai-Ching Wong*, “Zero product preservers of CCR C*-algebras with Hausdorff spectrum”, J. Math. Anal. Appl., 361(1)  (2010), 187-194. Get .pdf file

65.                     Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Geometric pre-ordering on C*-algebras”, Journal of Operator Theory,  63 (2010), no. 1, 115–128. Get .pdf file

66.                     Jinchuan Hou, Chi-Kwong Li and Ngai-Ching Wong*, “Maps preserving the spectrum of generalized Jordan product of operators”, Linear Algebra and Applications, 432 (2010), no. 4, 1049—1069.  Get .pdf file

67.                     Lu-Chuan Ceng, N. Hadjisavvas and Ngai-Ching Wong*, “Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems”, J. Global Optimization, 46 (2010), 635-646. Get .pdf file

68.                     Tran Dinh Ke and Ngai-Ching Wong*, “Asymptotic behavior for retarded parabolic equations with superlinear perturbations”, J. Optimization Theory and Application, 146, Issue 1 (2010), Page 117-135. Get .pdf file

69.                     Ching-Jou Liao and Ngai-Ching Wong*, “Smoothly embedded subspaces of a Banach space”, Taiwanese J. Math., 14 (2010), no. 4, 1629–1634. Get .pdf file

70.                     Chung-Wen Tsai and Ngai-Ching Wong*, “Linear orthogonality preservers of standard operator algebras”, Taiwanese J. Math., 14 (2010), no. 3B, 1047–1053. Get .pdf file

71.                     Chi-Wai Leung*, Chi-Keung Ng and Ngai-Ching Wong, “Linear orthogonality preservers of Hilbert bundles”, J. Aust. Math. Soc. 89 (2010), 245–254. (NSYSU, SCI). Get .pdf file

72.                     Jian-Wen Peng and Ngai-Ching Wong*, “Some modified extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings”, Taiwanese J. Math., 15 (2011), no. 1, 353–363. Get .pdf file

73.                     Ming-Hsiu Hsu and Ngai-Ching Wong*, “Isometric embeddings of Banach bundles”, Taiwanese J. Math., 15 (2011), No. 5, pp. 1969-1978.  Get .pdf file

74.                     D. R. Sahu, Ngai-Ching Wong and Jen-Chih Yao*, “A generalized hybrid steepest-descent method for variational inequalities in Banach Spaces”, Fixed Point Theory and Applications, Volume 2011 (2011), Article ID 754702, 28 pages (NSYSU, SCI). Get .pdf file

75.                     L. C. Ceng, Q. H. Ansari, N.-C. Wong* and J.-C. Yao, “An extragradient-like approximation method for variational inequalities and fixed point problems”, Fixed Point Theory and Applications, 2011, 2011:22.  Get .pdf file

76.                     X. F. Luo, L. H. Peng, C. Li and N. C. Wong*, “Characterizations and uniqueness of  best simultaneous τC-Approximations”, Taiwanese J. Math., 15 (2011), No. 5, 2357-2376. (NSYSU, SCI). Get .pdf file

77.                     Tran Dinh Ke, Valeri Obukhovskii*, Ngai-Ching Wong and Jen-Chih Yao, “An abstract Cauchy problem for higher order functional differential inclusions with infinite delay”, Discussiones Mathematicae: Differential Inclusions Control and Optimization, 31 (2011), 199–229.  Get .pdf file

78.                     Chung-Wen Tsai and Ngai-Ching Wong*, “Rank preserving in integral extensions of commutative C*-algebras”, Taiwanese J. Math., 16(2) (2012), 545–553. (NSYSU, SCI). Get .pdf file

79.                     Tran Dinh Ke, Valeri Obukhovskii*, Ngai-Ching Wong and Jen-Chih Yao, “Approximate controllability for systems governed by nonlinear Volterra type equations”, Differ. Equ. Dyn. Syst., 20(1) (2012), 35-52.  Get .pdf file

80.                     Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Weak and strong convergence theorems for extended hybrid mappings in Hilbert spaces”, J. Nonlinear and Convex Analysis, 12 (2011), no. 3, 553-557. (NSYSU, SCI). Get .pdf file Get .pdf file

81.                     Eskandar Naraghirad, Ngai-Ching Wong* and Jen-Chih Yao, “Strong convergence theorems by a hybrid extragradient-like approximation method for asymptotically nonexpansive mappings in the intermediate sense In Hilbert spaces”, Journal of Inequalities and Applications, 2011, 2011:119, 10 pages. doi:10.1186/1029-242X-2011-119.   Get .pdf file

82.                     Tran Dinh Ke and Ngai-Ching Wong*, “Long-time behavior for a model of porous-medium equations with variable coefficients”, Optimization, 60 (2011), no. 6, 709–724.   Get .pdf file

83.                     Ming-Hsiu Hsu and Ngai-Ching Wong*, “Inner products and module maps of Hilbert C*-modules”, Matimyas Matematika, vol. 34, Nos. 1-2 (2011), 56-62. (NSYSU). Get .pdf file

84.                     Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Automatic continuity and and C0(Ω)-linearity of  linear maps between C0(Ω)-modules”, J. Operator Theory  67 (2012), Issue 1, 3-20. (NSYSU, SCI). Get .pdf file

85.                     N. Hadjisavvas*, S. Schaible and N.-C. Wong, “Pseudomonotone operators: a survey of the theory and its applications”, J. Optimization Theory and Applications, 152 (2012), 1–20. (NSYSU, SCI). Get .pdf file

86.                     Lu-Chuan Ceng, Ngai-Ching Wong* and Jen-Chih Yao, “Well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations”, Journal of Applied Mathematics, vol. 2012 (2012), Article ID 712306, 21 pages. doi:10.1155/2012/712306  (NSYSU, SCI). Get .pdf file

87.                     Chi-Wai Leung*, Chi-Keung Ng and Ngai-Ching Wong, “Linear orthogonality preservers of Hilbert C*-modules over C*-algebras with real rank zero”, Proc. A.M.S., 140 (2012), no. 9, 3151–3160. (NSYSU, SCI). Get .pdf file

88.                     Chi-Wai Leung*, Chung-Wen Tsai and Ngai-Ching Wong, “Linear disjointness preservers of W*-algebras”, Math. Z., 270 (2012), no. 3-4, 699–708. (NSYSU, SCI). Get .pdf file

89.                     L. C. Ceng, N. C. Wong and J. C. Yao*, Strong and weak convergence theorems for an infinite family of nonexpansive mappings and applications, Fixed Point Theory and Applications, 2012, 2012:117 doi:10.1186/1687-1812-2012-117.  Get .pdf file

90.                     B. T. Kien, N.-C. Wong, J.-C. Yao*, “Necessary conditions for multiobjective optimal control problems with state constraints”, Dynamics of Continuous, Discrete & Impulsive Systems, Series B: Applications & Algorithms, 19 (2012), no. 3, 431–446.  Get .pdf file

91.                     Wataru Takahashi, Ngai-Ching Wong* and Jen-Chih Yao, “Two generalized strong convergence theorems of Halpern's type in Hilbert spaces and applications”, Taiwanese J. Math., 16 (2012), no. 3, 1151–1172. (NSYSU, SCI). IF: 0.530, Get .pdf file

92.                     Tran Dinh Ke, Valeri Obukhovskii, Ngai-Ching Wong* and Jen-Chih Yao, “On semilinear Integro-differential equations with nonlocal conditions in Banach spaces”, Abstract and Applied Analysis, Volume 2012 (2012), Article ID 137576, 26 pages, doi:10.1155/2012/137576. (NSYSU, SCI). Get .pdf file

93.                     Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Fixed point theorems and convergence theorems for generalized nonspreading mappings in Banach spaces”, Journal of Fixed Point Theory and Applications, 11 (2012), 159-183.  Get .pdf file

94.                     Lu-Chuan Ceng, Qamrul Hasan Ansari, Ngai-Ching Wong* and Jen-Chih Yao, “Iimplicit iterative method for hierarchical variational inequalities,” J. Applied Math., Volume 2012 (2012), Article ID 472935, 14 pages.  (SCI, NSYSU) Get .pdf file

95.                     Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Fixed point theorems for three new nonlinear mappings in Banach spaces”, J. Nonlinear and Convex Analysis, Volume 13, Number 2, (2012), 363-381. (NSYSU, SCI). Get .pdf fileGet .pdf file

96.                     Qingying Bu* and Ngai-Ching Wong, “Some geometric properties inherited by the positive tensor products of atomic Banach lattices”, Indagationes Mathematicae, vol. 23, no. 3 (2012), 199–213. (NSYSU, SCI). Get .pdf file

97.                     Lei Li* and Ngai-Ching Wong, “Banch-Stone theorems for vector-valued functions on completely regular spaces”, J. Math. Anal. Appl., vol. 395, no. 1 (2012), 265–274.   Get .pdf file

98.                     D. R. Sahu, Ngai-Ching Wong* and Jen-Chih Yao, “A unified hybrid iterative method for solving variational inequalities involving generalized contractive mappings”, SIAM J. Control and Optimization, Vol. 50, No. 4 (2012), 2335–2354.  Get .pdf file

99.                     Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Attractive point and weak convergence theorems for new generalized hybrid mappings in Hilbert spaces”, J. Nonlinear and Convex Analysis, Volume 13, Number 4, (2012), 13 pages.. Get .pdf fileGet .pdf file

100.                Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems”, Fixed Point Theory and Applications, Volume 2012:181, doi:10.1186/1687-1812-2012-181, 2012. Get .pdf file

101.                Tran Dinh Ke, Valeri Obukhovskii, Ngai-Ching Wong* and Jen-Chih Yao, “On a class of fractional order differential inclusions with infinite delays”, Applicable Analysis, 92(1) (2013), 115-137, DOI:10.1080/00036811.2011.601454 (NSYSU, SCI). Get .pdf file

102.                Eskandar Naraghirad, Ngai-Ching Wong*  and Jen-Chih Yao, “Approximating fixed points of -nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces”,   Fixed Point Theory and Applications, 2013, 2013:57. doi:10.1186/1687-1812-2013-57.  Get .pdf file

103.                D. R. Sahu, Ngai-Ching Wong* and Jen-Chih Yao, “Strong convergence theorems for  semigroups of asymptotically nonexpansive mappings in Banach spaces”, Abstract and Applied Analysis, vol. 2013, Article ID 202095, 8 pages, 2013. doi:10.1155/2013/202095. Get .pdf file

104.                Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Fixed point theorems for nonlinear non-self  mappings in Hilbert spaces and applications”, Fixed Point Theory and Applications, .2013, 2013:116. DOI: 10.1186/1687-1812-2013-116. Get .pdf file

105.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Fixed point theorems for general contractive mappings with w-distances in metric spaces”,  J. Nonlinear and Convex Analysis, Volume 14, Number 3, (2013), 637–648.. (NSYSU, SCI).. Get .pdf fileGet .pdf file

106.                Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao*, “Fixed point theorems for new generalized hybrid mappings in Hilbert spaces and applications”, Taiwanese J. Math., 17 (2013), No. 5, 1597-1611. Get .pdf file

107.                Anthony Lau and Ngai-Ching Wong*, “Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups”, J. Functional Analysis, , 265 (2013), Issue 4, 562–593.. Get .pdf file

108.                Lawrence G. Brown and Ngai-Ching Wong*, "Left quotients of a C*-algebra, III : Operators on left quotients," Studia Math., 218 (3) (2013), 189-217. Get .pdf file

109.                Yonghong Yao, Yeong-Cheng Liou and Ngai-Ching Wong*, “Superimposed optimization methods for the mixed equilibrium problem and variational inclusion”, J. Global Optimization, 57 (3) (2013), 935-950. Get .pdf file

110.                Lei Li* and Ngai-Ching Wong, “Kaplansky theorem for completely regular spaces”, Proc. Amer. Math. Soc., 142 (4) (2014), 1381-1389 Get .pdf file

111.                David Li-Wei Kuo, Ming-Cheng Tsai, Ngai-Ching Wong* and Jun Zhang, “Maps preserving Schatten p-norms of convex combinations”, Abstract and Applied Analysis Volume 2014 (2014), Article ID 520795, 5 pages. Get .pdf file

112.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Weak and strong convergence theorems for commutative families of positively homogeneous nonexpansive mappings in Banach spaces”, J. Nonlinear and Convex Analysis, 15 (3) (2014), 557-572. (NSYSU, SCI) Get .pdf file Get .pdf file

113.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Nonlinear ergodic theorem for positively homogeneous nonexpansive mappings in Banach spaces and applications”, Numerical Functional Analysis and Optimization, 35(1) (2014), 85-98.  (NSYSU, SCI) Get .pdf file

114.                Qingying Bu, Chingjou Liao and Ngai-Ching Wong*, “Orthogonally additive and orthogonally multiplicative holomorphic functions of matrices”, Ann. Funct. Anal., Volume 5, Number 2, 2014, 80-89. (NSYSU, SCI) Get .pdf file

115.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Nonlinear ergodic theorem for commutative families of positively homogeneous nonexpansive mappings in Banach spaces”, J. Convex Analysis, 21 (2014), no. 2, 535–552.   (NSYSU, SCI) Get .pdf file

116.                Eskandar Naraghirad*, Ngai-Ching Wong and Jen-Chih Yao, “Applications of the Bregman-Opial property to Bregman nonspreading mappings”,   Abstract and Applied Analysis, Volume 2014 (2014), Article ID 272867, 14 pages. (NSYSU, SCI). IF: 1.442, 17/279 JCR2010  math Get .pdf file

117.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive point and mean convergence theorems for semigroups of mappings without continuity in Hilbert spaces”, J. Nonlinear and Convex Analysis, 15 (2014), no. 6, 1087-1103. Get .pdf file

118.                Lu-Chuan Ceng, Ngai-Ching Wong* and Jen-Chih Yao, “Regularized hybrid iterative algorithms for triple hierarchical variational inequalities”, J. Inequalities and Applications, 2014:490  doi:10.1186/1029-242X-2014-490.  Get .pdf file

119.                Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Linear orthogonality preservers of Hilbert C*-modules”, J. Operator Theory, 71:2(2014), 571–584.  Get .pdf file

120.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive point and mean convergence theorems for semigroups of mappings without continuity in Banach spaces”,  Journal of Fixed Point Theory and Applications, 16 (2014) 203–227. Get .pdf file

121.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive points and Halpern’s type strong convergence theorems in Hilbert spaces”, Journal of Fixed Point Theory and Applications, 17 (2015), 301–311. Get .pdf file

122.                Chi-Kwong Li,  Ming-Cheng Tsai*, Kuo-Zhong Wang and Ngai-Ching Wong, “The spectrum of the product of operators, and the product of their numerical ranges”, Linear Algebra and Application, 469 (2915), 487–499. Get .pdf file

123.                Qingying Bu*, Donghai Ji and Ngai-Ching Wong, “Weak Sequential Completeness of Spaces of Homogeneous Polynomials”, J. Math. Anal. Appl., 427 (2015) 1119–1130. Get .pdf file

124.                Chi-Keung Ng and Ngai-Ching Wong, “Comparisons of equivalence relations on open projections”, J. Operator Theory, 74, Issue 1, (2015), 101-123. Get .pdf file

125.                Dijana Ilisevic, Chih-Neng Liu and Ngai-Ching Wong, “When the average of composition operators being a projection”, J. Nonlinear and Convex Analysis 16, no. 7, (2015), 1353-1362. Get .pdf file

126.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Strong convergence theorems for commutative families of linear contractive operators in Banach spaces”, J. Nonlinear and Convex Analysis, 16 (2015), no. 2, 193-209. Get .pdf file Get .pdf file

127.                Lu-Chuan Ceng, Ngai-Ching Wong* and Jen-Chih Yao, “Hybrid extragradient methods for fiinding minimum norm solutions of split feasibility problems”, J. Nonlinear and Convex Analysis, 16 (2015), no. 10, 1965-1983. Get .pdf file

128.                Chi-Wai Leung*, Chi-Keung Ng and Ngai-Ching Wong, “On a notion of closeness of groups”,  Ann. Funct. Anal., 7 (2016), no. 1, 24-32. Get .pdf file

129.                Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Transition probability of normal states determine the Jordan structure of a quantum system”, J. Math. Physics, 57 (2016), 015212, 13 pages; doi: 10.1063/1.4936404 Get .pdf file

130.                Ya-Shu Wang* and Ngai-Ching Wong, “Orthogonally additive and multiplicative polynomials and holomorphic maps between Fourier algebras”, Quarterly J. Math., (2016) 67 (1), 125-136. Get .pdf file

131.                Wen-Fong Ke, King-Fai Lai, Tsung-Lin Lee* and  Ngai-Ching Wong,  “Preconditioning Random Toeplitz Systems”, J. Nonlinear and Convex Analysis, 17 (2016), no. 4, 757-770. Get .pdf file

132.                Yonghong Yao, Yeong-Cheng Liou and Ngai-Ching Wong*, “An iterative algorithms based on the implicit midpoint rule for nonexpansive mappings”, J. Nonlinear and Convex Analysis, 17 (2016), no. 4, 655-668. Get .pdf file

133.                Ming-Hsiu Hsu* and Ngai-Ching Wong, “Isometries of real Hilbert C*-modules”, J. Math. Anal. Appl., 438(2), 2016, 807–827.  Get .pdf file

134.                Qingying Bu, Ming-Hsiu Hsu and Ngai-Ching Wong*, “Orthogonally additive holomorphic maps between C*-algebras”, Studia Math., 234 (2016), no. 3, 195-216. Get .pdf file

135.                Ching-Jou Liao, Jung-Hui Liu and Ngai-Ching Wong*, “Sums of orthomorphisms of continuous functions”, Pure and Applied Functional Analysis, 1 (2016), no. 3, 417-428. Get .pdf file

136.                Wen-Fong Ke, King-Fai Lai, Tsung-Lin Lee* and Ngai-Ching Wong, “Random Toeplitz Operators and  Eigenvalue Distributions”, J. Nonlinear and Convex Analysis, 17 (2016), no.9, 1717-1728. Get .pdf file

137.                Chi-Keung Ng* and Ngai-Ching Wong,  “An abstract framework for Murray-von Neumann type classification schemes of C*-algebras” ,  Acta Mathematica Sinica, Chinese Series, as appeared in  “C*-代数的  Murray-von Neumann 分类理论的抽象架构”,  数学学报 (中文版) , 60 (2017), Issue 1, 159-172. Get .pdf file

138.                Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong*, “Bounded positive parts of noncommutative -spaces determine Jordan structures”, Linear Algebra and Applications, 519 (2017) pp. 102-110. Get .pdf file

139.                Dijana Iliševié*, Chih-Neng Liu and Ngai-Ching Wong, “Generalized -circular projections on JB*-triples and Hilbert -modules”, Concr. Oper. 4 (2017), 109–120. (NSYSU) Get .pdf file

140.                Lu-Chuan Ceng, D. R. Sahu, Ching-Feng Wen and Ngai-Ching Wong*, “Generalized η-D-gap functions and error bounds for a class of equilibrium problems”, Applicable Analysis, 96 (2017),  Issue 14, 2367-2389.

141.                Chi-Keung Ng and Ngai-Ching Wong, “On the decomposition into discrete, type II and type III C*-algebras”, Math Proc. Camb. Phil. Soc., 165, Issue 3 (2018) , 475-509.  Get .pdf file

142.                Hong-Yi Chen, György Pál Gehér, Chih-Neng Liu, Lajos Molnár, Dániel Virosztek and Ngai-Ching Wong, “Generalized isometries of the positive definite cone with respect to the quantum -divergences”, Letters of Math. Physics 107 (2017), 2267–2290 https://doi.org/10.1007. Get .pdf file

143.                Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semigroups that determine locally compact groups”, Quarterly J. Math. 69 (2018), 501–508. Get .pdf file

144.                Hong-Yi Chen, D. R. Sahu  and   Ngai-Ching Wong, “Iterative algorithms for solving multiple split common fixed point problems in Hilbert spaces”, J. Nonlinear and Convex Analysis 19 (2018),  Number 2, 265-285. Get .pdf file

145.                Jung-Hui Liu, Chun-Yen Chou, Ching-Jou Liao And Ngai-Ching Wong, “Linear disjointness preservers of operator algebras and related structures”, Acta Sci. Math. (Szeged), 84 (2018), 277–307. Get .pdf file

146.                Jung-Hui Liu, Chun-Yen Chou, Ching-Jou Liao And Ngai-Ching Wong, “Disjointness preservers of AW*-algebras”, Linear Alg. Appl. 552 (2018), 71-84. Get .pdf file

147.                Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, Metric preserving bijection between thin positive bells of non-commutative -spaces, J. Operator Theory 80, Issue 2 (2018),  429-452. Get .pdf file

148.                Rahim Alizadeh and Ngai-Ching Wong, “An Ostrowski theorem for compact operators”, J. Nonlinear and Convex Analysis, 19 (2018), Number 12, 2129-2133. Get .pdf file

149.                Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Metric semi-groups of normal states determine F-algebras”, Quarterly J. Math., 70 (2019), Issue 2, 429-450.

150.                Hong-Yi Chen, Kyung Soo Kim, Eskandar Naraghirad, Ching-Feng Wen, Ngai-Ching Wong and Jen-Chih Yao, “Locating common  fixed points of  nonlinear representations of  semigroups”, Filomat, 33:1 (2019), 147–161. Get .pdf file

151.                Jun Zhang, Ming-Cheng Tsai and Ngai-Ching Wong, “Norm of positive sum preservers of smooth Banach L(μ) spaces”, J. Nonlinear and Convex Analysis, 20:12 (2019), 2613-2621.. Get .pdf file  Fixing a gap at p. 7

152.                Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang and Ngai-Ching Wong, “Maps between rectangular matrix spaces preserving disjointness, (zero) triple product or norms”, J. Operator Theory, 83:1 (2020), 27-53. Get .pdf file

153.                D. R. Sahu, Louyi Shi, Ngai-Ching Wong and Jen-Chih Yao, “Perturbation-resilient methods with an arbitrary pool of nonexpansive mappings and applications”, Optimization, (2020), 70:5-6 (2021), 1047-1083. Get .pdf file

154.                Anthony To-Ming Lau, Chi-Keung Ng and Ngai-Ching Wong, “Facial distances determine normal states of a semi-finite W*-algebras”, Bulletin of London Math Soc., 52:3 (2020), 505-514. Get .pdf file

155.                Eskandar Naraghirad, Luoyi Shi and Ngai-Ching Wong, “The Bregman–Opial Property and Bregman Generalized Hybrid Maps of Reflexive Banach Spaces”, Mathematic, 8:6 (2020), Article 1022; https://doi.org/10.3390/math8061022, Published 22 Jun 2020. Get .pdf file

156.                Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “On a variant of Tingley's problem for some function spaces”, J. Math. Anal. Appl., 496:1, (2021), 124800. https://doi.org/10.1016/j.jmaa.2020.124800.

157.                Jun Zhang, Ming-Cheng Tsai and Ngai-Ching Wong, “Norm of positive sum preservers of noncommutative Lp(M) spaces”, J. Nonlinear and Convex Analysis, 22:2 (2021), 251-264. http://yokohamapublishers.jp/online2/opjnca/vol22/p251.html Get .pdf file

158.          Mikhail Kamenskii, Sergey Kornev, Valeri Obukhovskii, and Ngai-Ching Wong*, “On bounded solutions of semilinear fractional order differential inclusions in Hilbert spaces”, J. Nonlinear and Variational Analysis 5:2 (2021), 251-265. http://jnva.biemdas.com/issues/JNVA2021-2-5.pdf 

159.          Sergey Kornev, Ekaterina Getmanova, Valeri Obukhovskii and Ngai-Ching Wong*, “On periodic solutions for a class of random differential inclusions”, J. Nonlinear and Convex Analysis 22:8 (2021), 1615-1826. https://shorturl.at/dkpA2

160.                Jung-Hui Liu, Lei Li*, Luoyi Shi and Ngai-Ching Wong, The structure of linear zero product and commutativity preservers of C*-algebras, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 115, 194 (2021). https://doi.org/10.1007/s13398-021-01134-z. 

161.                Bui Ngoc Muoi and Ngai-Ching Wong*, “Bregman nonexpansive type actions of semitopological semigroups”, J. Nonlinear and Convex Analysis 22:4 (2021) 871-885 https://shorturl.at/qsvPX

162.          Eskandar Naraghirad, Luoyi Shi* and Ngai-Ching Wong, “Nonlinear evolutionary systems driven by set-valued mixed equilibrium problems with applications”, Numerical Functional Analysis and Optimization, 42 (15) (2021), 1768-1784. https://doi.org/10.1080/01630563.2021.2001752

163.          Mikhail Kamenskii, Paul Raynaud de Fitte, Ngai-Ching Wong* and Margarita Zvereva, “A model  of deformations of  a discontinuous Stieltjes string with a nonlinear boundary condition, ”,  J. Nonlinear and Variational Analysis, 5:5 (2021), 737—759. http://jnva.biemdas.com/issues/JNVA2021-5-8.pdf

164.          Chi-Kwong Li, Ming-Cheng Tsai*, Ya-Shu Wang and Ngai-Ching Wong, “Additive Hermitian idempotent preservers between operator algebras”, J. Math. Anal. Appl.,  505:2 (2022), 125522, https://doi.org/10.1016/j.jmaa.2021.125522.

165.          Bui Ngoc Muoi* and Ngai-Ching Wong, “Super asymptotically nonexpansive actions of semitopological semigroups”, Topological Methods in Nonlinear Analysis, 59 (2022), no. 2B, 1047–1067. https://arxiv.org/pdf/2007.00439.pdf

166.          King-Fai Lai, Bui Ngoc Muoi, Luoyi Shi and Ngai-Ching Wong*, “Character amenability of ”, Southeast Asian Bulletin of Mathematics, 46 (2022), no. 5, 601–608. https://shorturl.at/ghHLU

167.          Yunbai Dong, Lei Li*, Lajos Molnar and Ngai-Ching Wong, “Transformations preserving the norm of means between positive cones in general and commutative C*-algebras”, J. Operator Theory, 88:2 (2022), 365-406. https://arxiv.org/pdf/2104.05909.pdf  

168.          Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang and Ngai-Ching Wong, “Linear maps preserving  matrices annihilated by a fixed  polynomial”, Linear Algebra and its Applications,  674 (2023), 46-67. https://arxiv.org/pdf/2302.11170.pdf

169.          Lei Li, Ching-Jou Liao, Luoyi Shi, Liguang Wang, and Ngai-Ching Wong*, “Nonlinear disjointness  preservers of nonnegative continuous functions”, J. Math. Anal. Appl., 528:1 (2023), 127483 http://dx.doi.org/10.1016/j.jmaa.2023.127483

170.          Ching-Jou Liao, Chih-Neng Liu, Jung-Hui Liu and Ngai-Ching Wong*, “Weighted composition operators preserving various Lipschitz constants”, Annals of Mathematical Sciences and Applications, 8:2 (2023), 269-285. https://arxiv.org/pdf/2306.12824.pdf  

171.          Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang* and Ngai-Ching Wong, “Nonsurjective zero product preservers between matrix spaces over an arbitrary field”, Linear and Multilinear Algebra, https://arxiv.org/pdf/2003.05317.pdf.  

172.          Huai-Xin Cao, Hong-Yi Chen, Zhi-Hua Guo, Tsung-Lin Lee* and Ngai-Ching Wong, “Convex decompositions of Q-stochastic tensors and Bell locality in a multipartite system”, Advances in Operator Theory,   (2024) 9:19, published online https://rdcu.be/dzOhb.

 

Conference Proceedings Papers:

 

173.                Hwa-Long Gau and Ngai-Ching Wong,  “A supplement to James’s Theorem”, Banach Space Theory and its Applications, 1996, 68-70, Wuhan University Press, Wuhan. Get .pdf file

174.                Audrey Curnock, John Howroyd and Ngai-Ching Wong, `` The Unique Decomposition Property and the Banach-Stone Theorem'', Contemporary Mathematics, 328 (2003), 151-156. Get .pdf file

175.                Wan-Chain Fang and Ngai-Ching Wong*, “Disjointness preserving linear operators of Wiener ring”, in Proceedings of the 6th Taiwan-Philippine Symposium on Analysis, 2005. Get .pdf file

176.                Ngai-Ching Wong, “Zero product preservers of C*-algebras”, Contemporary Math., 435 (2007), 377-380. Get .pdf file

177.                Ngai-Ching Wong, “Triangle of operators, topology, bornology”, in the Proceedings of the 3rd International Congress of Chinese Mathematicans (2004 ),395-421, AMS/IP, Studies in Advanced Math. 42, 2008. Get .pdf file

178.                Ngai-Ching Wong*, “Operator ideals arising from generating sequences”, in Proceedings of International Conference on Algebra 2010, 673–689, World Sci. Publ., Hackensack, NJ, 2012. (The International Conference on Algebra in honor of the 70th birthday of Professor Shum Kar Ping was held by Universitas Gadjah Mada in Yogyakarta, Indonesia on October 7-10, 2010.)  Get .pdf file

179.                Wataru Takahashi*, Ngai-Ching Wong and Jen-Chih Yao, “Attractive point and mean convergence theorems for new generalized nonspreading mappings in Banach spaces”, Contemporary Mathematics, in press.. Get .pdf file

180.                Ngai-Ching Wong*, “The Topological and Bornological Approaches in Locally Convex Spaces”, in the Proceedings of the10th Taiwan-Philippines Symposium on Analysis 2014, 214-226, in press. (NSYSU). Get .pdf file

181.                Chi-Keung Ng and Ngai-Ching Wong, “A Murray-von Neumann type classification of C*-algebras”, Operator Theory: Advances and Applications, vol. 250, 369–395, Springer International Publ., 2015.  (This issue consists of the Proceedings of the conference celebrating the 60th birthday of C.J.K. Batty: "Operator semigroups meet complex analysis, harmonic analysis and mathematical physics", 2013, Edited by W. Arendt, R. Chill and Y. Tomilov.) (NSYSU)  Get .pdf file

182.                Bui Ngoc Muoi and Ngai-Ching Wong*, “Super asymptotically nonexpansive actions of semitopological semigroups on Fréchet and locally convex spaces”, in the Proceedings of the International Conference on Nonlinear Analysis and convex Analysis & International Conference on Optimization: Techniques and Applications -II­ (Hakodate Japan 2019), 53-71.

 

Preprints:

183.                Man-Chung Ng and Ngai-Ching Wong, “The no trade principle and the characterization of compact beliefs”, preprint.

184.                Audrey Curnock, John Howroyd and Ngai-Ching Wong, ``Isometries of affine function spaces'', preprint.

185.                Lu-Chuan Ceng, Ngai-Ching Wong and Jen-Chih Yao, “Hybrid Steepest-Descent Viscosity Methods for Generalized Mixed Equilibria, Variational Inclusions and Common Fixed Point Problems”, preprint.

186.          Dijana Iliševié, Chih-Neng Liu and Ngai-Ching Wong, “Generalized -circular projections and isometries on continuous functions with finite spectrum”, preprint.

187.                Denny Leung, Ya-Shu Wang and Ngai-Ching Wong, “Isometries between spaces of vector-valued continuous functions”, preprint.

188.                Chi-Wai Leung, Chi-Keung Ng and Ngai-Ching Wong, “A note on Radon measures on Hausdorff spaces”, preprint.

189.          Chi-Kwong Li, Ming-Cheng Tsai, Ya-Shu Wang and Ngai-Ching Wong, “Linear preservers of norm parallelism between matrix and operator spaces”, preprint.

190.          Luoyi Shi, Yao-Te Huang, Ching-Jou Liao and Ngai-Ching Wong, “Linear angle preservers of Hilbert C*-modules”, preprint.

191.          Liguang Wang and Ngai-Ching Wong, “Ternary rings of operators and their linking von Neumann algebras”, preprint.

192.                Chi-Wai Leung, Chi-Keung Ng* and Ngai-Ching Wong, “Order type Tingley's problem for operator algebras and the diametral relation”, preprint.

 

Books/Proceedings/Special issues edited:

 

1.       “Proceedings of the International Mathematics Conference '94”, World Scientific, Singapore, 1996. (Co-edited by Y. Fong, W.J. Huang, Y.J. Lee and N.C. Wong.)

2.    “Proceedings of the NCTS Workshop on Functional Analysis 2004”, as a special issue of the Taiwanese J. Math., 2006. (Co-edited by S.Y. Shaw, M.H. Shih, N.C. Wong and J.C. Yao.)

3.    “Preserver Problems on Function Spaces, Operator Algebras, and Related Topics”, as a special issue of Abstract and Applied Analysis, 2014 (Co-edited by Antonio M. Peralta, Chi-Keung Ng, Ngai-Ching Wong, and Jen-Chih Yao).

4.    “Recent Development in Fixed-Point Theory, Optimization, and Their Applications”, as  a special issue of Abstract and Applied Analysis, 2014 (Co-edited by Jinlu Li, Chong Li, Ngai-Ching Wong, and Jen-Chih Yao).

5.    “微積分”, 黃毅青著, 滄海圖書, 2015.8 初版, ISBN 978-986-5647-21-6; 2018.9 第二版, ISBN 978-986-96593-6-9.

6.    “數學分析” （上、下冊）, 石洛宜、黃毅青編著, 科學出版社, ISBN：9787030669032 , 2020.12,  第一版.

7.    “An introduction to functional analysis”, Lei Li and Ngai-Ching Wong, Science Publishing Corp. (科學出版社), to appear.

8.    “Structure of Radon Measures on Hausdorff Spaces”, Chi-Keung Ng, Chi-Wai Leuang and Ngai-Ching Wong, World Scientific Publishing Company, to appear.