Lê Dũng Mưu | Tạp chí Khoa học Thăng Long: Toán và các Khoa học liên quan

◆ Research interests:

- Optimization, Variational Inequality and Equilibrium Problems: Theory and Methods

◆ Education

- M.S. and M.A. of Mathematics (1973): The Eotvos Lorand University, Budapest, Hungary
- Ph.D. (1986), DSc. (1996): Institute of Mathematics, VAST, Hanoi, Vietnam - Full Professor (2003): Ministry of Education, Vietnam

◆ Award

- Award Fellowship of Alexander-von-Humboldt Foudation, Germany (1988)

◆ Publications

1. Tran Dinh Quoc, Le Dung Muu, Iterative methods for solving monotone

equilibrium problems via dual gap functions. Computational Optimization and Applications 51(2012) 709-728.
2. Le Hoai An, Le Dung Muu, Tran Dinh Quoc, Pham Dinh Tao, A new de- composition algorithm for globally solving mathematical programs with affine equilibrium constraints. ACTA Mathematica Vietnamica 37(2012) 201-217.

3. Tran Dinh Quoc, Pham Ngoc Anh, Le Dung Muu, Dual extragradinet al- gorithms extended to equilibrium problems. J. Global Optimization 52(2012) 139-159.
4. Pham Gia Hung, Le Dung Muu, On inexact Tikhonov and proximal point regularization methods for solving pseudomonotone equilibrium prob- lems. Vietnam J. of Mathematics 40(2012) 255-274.

5. Pham Ngoc Anh, Le Dung Muu, J. Kue Kim, An extragradient algo- rithm for solving pseudomonotone variational inequalities. J. of Global Opti- mization 52(2012) 252-269.
6. Bui Van Dinh, Le Dung Muu, A projection algorithm for solving pseu- domonotone equilibrium and its applications to a class of bilevel equilibria. Optimization 69(2013) 1-17.

7. Bui Van Dinh, Le Dung Muu, Algorithms for a class of bilevel pro- grams involving pseudomonotone variational inequalities, ACTA Mathematica Vietnamica 38(2013) 529-540.
8. Pham Ngoc Anh, Le Dung Muu, A hybrid subgradient algorithm for nonexpansive mapping and equilibrium problems. Optimization Letters 8(2014) 737-738.

9. Le Dung Muu, Le Quang Thuy, DC. optimization algorithms for solv- ing minmax flow problems. Mathematical Methods of Operational Research 80(2014) 83-97.

10. Bui Van Dinh, Pham Gia Hung, Le Dung Muu, Bilevel optimization as a
regularization approach to pseudomonotne equilibrium problems. Numerical Functional Analysis and Optimization 35(2015) 539-563.
11. Le Dung Muu, Nguyen Van Quy, On existence and solution-methods for solving strongly monotone equilibrium problem Vietnam J. of Mathemat- ics,43(2015) 229-238.
12. Nguyen Kieu Linh, Le Dung Muu, A convex hull algorithm for solving a location problem, RAIRO-Operations Research 49(2015) 589-600.
13. Tran Viet Anh, Le Dung Muu, A projection-xed point method for a class of bilevel variational inequalities with split xed point constraints, Opti- mization, 65(2016), 1229-1243.
14. Le Hai Yen, Le Dung Muu, Nguyen Thi Thanh Huyen, An algorithm for a class of split feasibility problems: application to a model in electricity production, Mathematical Methods of Operational Research 4(2016), 549-565. [15] Dang Van Hieu, Pham Ky Anh, Le Dung Muu, Parallel hybrid extra- gradient methods for pseudomonotone equilibrium problems and nonexpansive mappings, Numerical Algorithm, 73 (2016), 197-217.
15. Tran Viet Anh, Pham Ky Anh, Le Dung Muu, On Bilevel split pseu- domonotone variational inequality problems with applications, ACTA Mathe- matica Vietnam 42(2017), 413-429.
16. Phung Minh Duc, Le Dung Muu, A splitting algorithm for a class of bilevel equilibrium problems involving nonexpansive mappings, Optimization, 65(2017) 1855-1866.
17. Phung Minh Duc, Le Dung Muu, Nguyen Van Quy, Solution-existence and algorithms with their convergence rate for strongly pseudomonotone equi- librium problems Pacific J. Optimization, 12(2016), 833-845.
18. Le Dung Muu, Le Quang Thuy, A hybrid method for a system involving equilibrium problems, variational inequalities and nonexpansive semigroup, Korean J. Mathematics 23 (2015), 457-478.
19. Le Quang Thuy, Pham Ky Anh, Le Dung Muu, Trinh Ngoc Hai, Novel hybrid methods for pseudomonotone equilibrium problems and common fixed point problems, Numerical Functional Analysis and Optimization 38(2017), 443-465.

20. Dang Van Hieu, Pham Ky Anh, Le Dung Muu, Modied hybrid projection methods for nding common solutions to variational inequality problems, Computational Optimization and Applications 66 (2017), 75-96.
21. Tran Viet Anh and Le Dung Muu, Quasi-Nonexpansive Mappings In- volving Pseudomonotone Bifunctions on Convex Sets, Convex Analysis, 25(2018)1- 15.

22. Le Dung Muu and Le Xuan Thanh, A splitting algorithm for finding fixed points of nonexpansive mappings and solving equilibrium problems, J. Fixed Point Theory Applications, 20 (2018) 130-146.
23. Tran Viet Anh, Le Dung Muu, Dang Xuan Son, Parallel algorithms for solving a class of variational inequalities over the common Fixed points set of a finite family of demicontractive mappings, Numerical Functional Analysis and Optimization, https://doi.org/10.1080/ 01630563.2018.148 5695.