Professor

 

Department of Mathematics

 

Nanjing University

 

Nanjing 210093

 

P.R. CHINA

 

 

 

Office:           111B West Building

 

E-mail:            zhenyu@nju.edu.cn

 

Office hours:  TBA

 

 

 

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Courses:  

 

Graduate course:     Iterative Solution of Nonlinear Equations in Several Variables (Spring term each year)

 

College course:        Calculus  (Fall term each year)

 

 

 

 Mathematical Researches:

 

      variational inclusions and variational inequalities problems; fixed point theory and methods; numerical functional analysis; 

 

nonlinear functional analysis; operator equations; control theory and optimizations; minimax problems; entropy methods; fast algorithms; 

 

PPA (proximal point algorithms); equivalency; stability analysis; error analysis; set-valued analysis.

 

 

 

Visiting Positions:

 

     Pennsylvania State University (2000-2003), visiting associate professor

 

        Short visiting appointments (2 weeks-2 months): 

 

Dalhousie University, Canada, 3 weeks, visiting associate professor, 1999

 

Yokohama National University, Japan, 3 weeks, visiting associate professor, 1999

 

 

 

National Research Grants:

 

1.      Principal Investigator of research grants (No. 10871092 (2009-2011); No. 19801017; No.19910120117), 

 

National Natural Science Foundation of China 

 

2.      Principal Investigator of research grants (No. 1113020301(2011-2012), etc), 

 

the State Education Ministry of China

 

 

 

 

 

Supervision of Post-masters’ Research:

 

       Ph.D. dissertation advisor:                Nanjing University,  beginning 2009-

 

       Master theses advisor:                     Nanjing University,  beginning 2000-

 

 

 

 

 

Professional Services:

 

 

 

1. Editorial Board:

 

        Member of Editorial Boards of the following journals:

 

                Pure Mathematics, 2011-2012 (Hans Publishing Inc., USA)

 

International Journal of Numerical Methods and Applications, 2009-2012 (PUSHPA PUBLISHING HOUSE)

 

        Past Editorial Boards:

 

               Journal of Applied Mathematics and Computing, 2000-04 (Springer-Verlag)

 

 

 

2. External Examiner for Ph.D. dissertations:

 

        COMSATS Institute of Information Technology, Pakistan, 2009

 

       University of Kalyani, India, 2004

 

       Several Chinese universities, 2004-present

 

        External Examiner for Master theses by more than ten universities, China,2003-

 

 

 

3. Reviewer for:

 

       Mathematical Reviews (Americal Mathematical Society), 1997- present , with more than 50 reviews 

 

 

 

4. Referee for:

 

Journal of Mathematical Analysis and Applications

 

       Journal of Computational and Applied Mathematics

 

       Journal of Computational Analysis and Applications

 

       Journal of Applied Mathematics and Computing

 

       Dynamic Systems and Applications

 

       Computers & Mathematics with Applications

 

       Applied Mathematics and Computation

 

       Applied Mathematics Letters

 

       Applicable Analysis

 

       Mathematical Modelling and Analysis

 

       Mathematical and Computer Modelling

 

       Matematicki Vesnik

 

       International Journal of Mathematics and Mathematical Sciences

 

       Indian Journal of Mathematics

 

       Journal of Applied Mathematics and Stochastic Analysis

 

       Journal of Mathematical Inequalities

 

       Bulletin of the Malaysian Mathematical Sciences Society

 

       Numerical Algorithms

 

       International Journal of Computational Methods

 

        More than ten journals in China

 

 

 

Selected Publications from 1996-2011 (cited by others for more than 70 times): 

 

 

 

 

 

On variational inequality problems: 

 

 

 

1. Zhenyu Huang, A Remark on the Strong Convergence of the Over-Relaxed Proximal Point Algorithm, Computers and Mathematics with Applications,60(2010), 1616-1619.  (SCI,EI)

 

2. Zhenyu Huang, Muhammad A.Noor, E.Al-Said, On An Open Question of Takahashi for Nonexpansive Mappings and Inverse Strongly Monotone Mappings, Journal of Optimization Theory and Applications, 147(2010),194-204.   (SCI) 

 

3. Muhammad A.Noor, K.I. Noor, Zhenyu Huang, Bifunction Hemivariational Inequalities, Journal of Applied Mathematics and Computing, 35(2011), 595-605.   (EI) 

 

4. Zhenyu Huang, A Remark on the Boundness and Weak Convergence of General Proximal Point Algorithm, Positivity, 15(2011), 215-219.  (SCIE)

 

5. Zhenyu Huang, Muhammad Aslam Noor, Equivalency of convergence between one-step iteration algorithm and two-step iteration algorithm of variational inclusions for H-monotone mappings, Computers and Mathematics with Applications 53 (2007) 1567-1571.  (SCI,EI)

 

6. Zhenyu Huang, Muhammad Aslam Noor, An explicit projection method for a system of nonlinear variational inequlities with different cocoercive mappings, Applied Mathematics and Computation 190 (2007) 356-361.     (SCIE,EI)

 

7. Zhenyu Huang, Muhammad Aslam Noor, Some new unified iteration schemes with errors for nonexpansive mappings and variational inequlities, Applied Mathematics and Computation 194 (2007) 135-142. (SCIE,EI)

 

8. Muhammad Aslam Noor, Zhenyu Huang, Three-step methods for nonexpansive mappings and variational inequalities,  Applied Mathematics and Computation 187 (2007) 680-685.   (SCIE,EI)

 

9. Muhammad Aslam Noor, Zhenyu Huang, Wiener-Hopf equation technique for variational inequalities and nonexpansive mappings, Applied Mathematics and Computation 191 (2007) 504-510. (SCIE,EI)

 

10. Muhammad Aslam Noor, Zhenyu Huang, Some resolvent iterative methods for variational inclusions and nonexpansive mappings, Applied Mathematics and Computation 194 (2007) 267-275.   (SCIE,EI)

 

 

 

 

 

On equivalency of fixed point iterations: 

 

 

 

1.      Zhenyu Huang, Equivalence theorems of the convergence between Ishikawa and Mann iterations with errors for generalized strongly successivelyφ-pseudocontractive mappings without Lipschitzian assumptions, Journal of Mathematical Analysis and Applications, 329(2) (2007), 935-947.   (SCI)

 

2.      Zhenyu Huang, Weak Stability of Mann and Ishikawa Iterations with Errors for  φ-Hemicontractive Operators, Applied Mathematics Letters, 20(4) (2007), 470-475.  (SCI,EI)

 

3.      Zhenyu Huang, F.Bu, The equivalence between the convergence of Ishikawa and Mann iterations with errors for strongly successively pseudocontractive mappings without Lipschitzian assumption, Journal of Mathematical Analysis and Applications， 325(1) (2007),  586-594.   (SCI)

 

4.      Zhenyu Huang, F.Bu, Muhammad Aslam Noor, On the equivalence of the convergence criteria between modified Mann-Ishikawa and multi-step iterations with errors for successively strongly pseudo-contractive operators, Applied Mathematics and Computation, 180(2)(2006), 641-647. (SCIE,EI)

 

5.      Zhenyu Huang, A reconsideration on equivalency of convergence between iterations for uniformly L-Lipschitzian operators, Mathematical and Computer Modellings, 43(3-4)(2006), 374-376. (SCIE,EI)

 

 

 

On fixed point iterations and minimax problems: 

 

 

 

1.      Norimichi Hirano, Zhenyu Huang, Convergence Theorems for Multivalued  φ-Hemicontractive Operators and φ-Strongly Accrective Operators, Computers and Mathematics with Applications, 46(2003) 1461-1471. (SCI, EI) 

 

2.      Muhammad Aslam Noor, T.M. Rassias, Zhenyu Huang, Three-step iterations for nonlinear accretive operator equations, Journal of Mathematical Analysis and Applications 274(1) (2002) 59-68. (SCI) 

 

3.      Zhenyu Huang, Ishikawa iterative process in uniformly smooth Banach spaces, Appl Math Mech (English Ed.) 22 (11) (2001) 1306-1310. (SCIE, EI) 

 

4.      Zhenyu Huang, Iterative process with errors for fixed points of multivalued φ-hemicontractive operators in uniformly smooth Banach spaces, Computers and Mathematics with Applications, 39 (3-4) (2000) 137-145. (SCI, EI) 

 

5.     Zhenyu Huang, Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings, Computers and Mathematics with Applications, 37(3)(1999) 1-7, 1999. (SCI, EI) 

 

6.   Zhenyu Huang, Approximating fixed points of φ-Hemicontractive mappings by the Ishikawa iteration process with errors in uniformly smooth Banach spaces, Computers and Mathematics with Applications, 36(2)(1998) 13-21. (SCI, EI)  

 

7.   Zhenyu Huang, A new convergence result for fixed-point iteration in bounded interval of Rn, Computers and Mathematics with Applications, 34(12)(1997) 33-36. (SCI, EI) 

 

8.   Zhenyu Huang, Almost T-stability of the iteration procedures with errors for strongly pseudocontractions in q-uniformly smooth Banach spaces without continuity assumption, Yokohama Math J, 48(2000), no.1,71-82. (Japanese Journal)  

 

9.   Zhenyu Huang, Iterative approximations of φ-hemicontractive mappings without Lipschitz assumption, in "Numerical Mathematics, A Journal of Chinese Universities", Vol.9, No.2, pp. 193-203, 2000. (Chinese Journal)  

 

10.  Zhenyu Huang, Stability results for generalized contractive mappings, in "Numerical Mathematics, A Journal of Chinese Universities", Vol.9, No.1, pp. 83-90, 2000. (Chinese Journal) 

 

11.  Zhenyu Huang, Approximation of fixed points of strictly pseudo-contractive mapping without Lipschitz assumption,in "Applied Mathematics, A Journal of Chinese University", Ser.B, Vol.15, No.1, pp.73-77, 2000. 

 

12.  Zhenyu Huang, Iterative solution of nonlinear equations of m-accretive type in arbitrary Banach spaces, in "Journal of Nanjing University, Mathematical Biquarterly", Vol.17, No.1, pp. 27-34, 2000. (Chinese Journal) 

 

13.  Zhenyu Huang, A generalization of Ishikawa fixed point iteration theorems, in "Journal of Nanjing University, Mathematical Biquarterly", Vol.16, No.2, pp.179-183, 1999. (Chinese Journal) 

 

14.  Zhenyu Huang, A remark on Ishikawa iteration theorem of M. O. Osilike, in "Soochow J. Math", Vol.23, No.1, pp.113-114, 1997. (Taiwan Journal) 

 

15.  Zhenyu Huang,  Zuhe Shen, Entropy method for one sort of nonlinear Minimax problem, In "Chinese Science Bulletin", Vol. 41, No.21, pp.1765-1769, 1996. (SCIE) 

 

16.  Zuhe Shen,  Zhenyu Huang, M.A. Wolfe, An interval maximum entropy method for a discrete Minimax problem, Applied Mathematics and Computation, 87(1)(1997)49-68. (SCIE, EI) 

 

17.  Zhenyu Huang, Zuhe Shen, The entropic regulation methods in China: a new approach for minimax, in Numerical Linear Algebra and Optimization, pp.38-45, edited by Ya-Xiang Yuan, Science Press, Beijing, New York, 1999. 

 

18.  Zhenyu Huang,  Zuhe Shen, ε-Optimal solution for continuous Minimax problems with maximum-entropy function, in "Numerical Mathematics, A Journal of Chinese Universities", Vol.7, No.1, pp.45-50, 1998. (Chinese Journal) 

 

19.  Zhenyu Huang, An interval entropy penalty method for nonlinear global optimization, in "Reliable Computing", Vol.4, No.1, pp. 15-25, 1998. (Netherland Journal, EI) 

 

20.  Zhenyu Huang,  Jian-nan Zhuang, Ying-ju Lin, A steepest descent algorithm for bounded constrained global nonsmooth optimization, in "J. Nanjing University, Math. Biquarterly", Vol.13, No.2, pp.218-225, 1996. (Chinese Journal) 

 

21.  Zhenyu Huang, Zuhe Shen, An entropy function method for solving a class of nonlinear MaxMin problems, in "Ke Xue Tong Bao", Vol.41, No.17, pp.1550-1554, 1996. (Chinese Journal) 

 

 

 

 

 

For a list of publications, please see MathSciNet (http://www.ams.org/mathscinet/). 

 

 

 

 

 

Updated: June 23, 2011