Welcome to Professor Dr. Zhenyu
Huang’s Homepage
Courses:
Graduate course: Iterative Solution of Nonlinear Equations in Several Variables (Spring term each year) (since 1999)
College course: Calculus (Fall term each year) (since 1997)
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:
1. Pennsylvania State University, visiting associate
professor, 2000-2003
2.
Short visiting appointments (within one month each):
MIT (Massachusetts Institute of Technology), USA, visiting professor, 2011
Indiana University, USA, visiting professor, 2011
University of Central Florida, USA, visiting professor, 2011
Sun Yat-sen University, Taiwan, visiting professor, 2011
Dalhousie University, Canada, visiting associate professor, 1999
Yokohama National University, Japan, visiting associate professor, 1999
National Research Grants:
1. Principal Investigator of research grants (No. 10871092; No. 19801017; No.19910120117),
National Natural Science Foundation of China
2. Principal Investigator of research grants (No. 1113020301, etc), with five reserach grants,
State Education Ministry of China
Supervision of Post-masters:
Ph.D. dissertation advisor: Nanjing University, since 2009 with 1 doctoral student graduated
Master theses advisor: Nanjing University, since 2000, with 10 graduates granted
Professional Services:
1. Guest Editor of SCI journal: Journal of Applied
Mathematics, Special Issues in 2012 and 2013
Title: Numerical and analytical methods for
variational inequalities and related problems 2013
Author(s): Huang, Z.; Mohapatra,
R.N.; Chang, S.-S.; et al.
Source: Journal of Applied Mathematics Volume: 2013 Published: 2013
DOI: 10.1155/2013/129319
Title: Numerical and analytical methods for
variational inequalities and related problems with applications
Author(s): Huang, Z.; Mohapatra,
R.N.; Noor, M.A.; et al.
Source: Journal of Applied Mathematics Volume: 2012 Published: 2012
DOI: 10.1155/2012/684104
2. Editorial Board:
Member of Editorial Boards of the following journals:
Pure Mathematics, since 2011 (Hans Publishing Inc., USA)
International Journal of Numerical Methods and Applications, since 2009 (PUSHPA PUBLISHING HOUSE)
Past Editorial Boards:
Journal of Applied Mathematics and Computing, 2000-04 (Springer-Verlag)
3. External Examiner for Ph.D. dissertations with more than 20 times: :
COMSATS Institute of Information
Technology, Pakistan, since 2009
University of Kalyani, India, since 2004,
Several Chinese universities, since 2004
External Examiner for Master theses by more than twenty universities, China, since 2003-
3. Reviewer for:
Mathematical Reviews (Americal Mathematical Society), since 1997, with more than 60 reviews
4. Referee for:
Applied Mathematics
and Computation
Applied Mathematics
Letters
Applicable Analysis
Bulletin of the
Malaysian Mathematical Sciences Society
Computers &
Mathematics with Applications
Dynamic Systems and
Applications
Indian Journal of
Mathematics
International Journal
of Computational Methods
International Journal
of Mathematics and Mathematical Sciences
Journal of Applied
Mathematics and Computing
Journal of Applied
Mathematics and Stochastic Analysis
Journal of
Computational Analysis and Applications
Journal of
Computational and Applied Mathematics
Journal of Inequalities and Applications
Journal of
Mathematical Inequalities
Journal of
Mathematical Analysis and Applications
Mathematical and
Computer Modelling
Mathematical
Modelling and Analysis
Matematicki Vesnik
Numerical Algorithms
More than ten
journals in China
Selected Publications since 1996 (cited by others for more than 300 times):
Other information may access via University ID at
http://orcid.org/0000-0003-3191-3972 (at ORCID)
Or
http://www.researcherid.com/rid/D-8530-2016 (at ResearchID)
Or
https://www.researchgate.net/profile/Zhen_Yu_Huang (at ResearchGate)
Or
https://www.scopus.com/authid/detail.uri?authorId=55494533100 (at Scopus)
On variational inequality problems:
1. 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)
|
2. 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) |
|
3. Muhammad Aslam Noor, Zhenyu
Huang, Three-step methods for nonexpansive mappings
and variational inequalities,
Applied Mathematics and Computation 187 (2007) 680-685. (SCIE,EI)
4. 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)
5. 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)
6. 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)
7. Zhenyu Huang, A Remark on
the Boundness and Weak Convergence of General
Proximal Point Algorithm, Positivity, 15(2011), 215-219. (SCIE)
8. Muhammad A.Noor, K.I. Noor, Zhenyu Huang, Bifunction Hemivariational Inequalities, Journal of Applied Mathematics and Computing, 35(2011), 595-605. (EI)
9. 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)
10. 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)
11. Zhenyu Huang, Muhammad A.Noor,
On the convergence rate of the over-relaxed proximal
point algorithm,
Applied Mathematics Letters 25(2012) 1740-1743. (SCI,
EI).
12. Zhenyu Huang, Muhammad A.Noor,
Studies on Common Solutions of a Variational
Inequalities and a Fixed-Point Problem,
Journal of Optimization Theory and Applications 154
(2012) 525-535. (SCI).
13. Muhammad A.Noor,
K.I. Noor, Zhenyu Huang, E. Al-Said,
Implicit Schemes for Solving Extended General
Nonconvex Variational Inequalities,
Journal of Applied Mathematics, Vol. 2012,
Article ID 646259, 10 pages. (SCI)
14. Muhammad A.Noor, Zhenyu Huang, Some Proximal Methods for Solving Mixed Variational Inequalities,
Abstract and Applied Analysis, Vol.2012, Article ID 610852,
9 pages. (SCI)
15. A. Moudafi, Zhenyu Huang, About the relaxed cocoercivity and the convergence of the proximal point
algorithm,
Journal of the Egyptian Mathematical Society 21(2013)
281-284.
16. Zhenyu Huang, Muhammad A.Noor,
Explicit Parallel Resolvent
Methods for Systems of General Variational
Inclusions,
TWMS J. Pure Appl. Math. 4(2) (2013) 159-168.
17. Zhenyu Huang,
Muhammad A.Noor, Revisit the over-relaxed proximal
point algorithm,
Applied Mathematics Letters 62(2016) 55-62. (SCI, 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: March 9, 2017