Le Dung Muu

Scientific CV

Scientific Publications

Publications

1. 1. Le Dung Muu, Le Hai Yen, An extragradient algorithm for quasiconvex equilibrium problems without monotonicity, Journal of Global Optimization, Volume 95, pages 211–230 (2026) (2026)
2. 2. Le Xuan Thanh, Le Dung Muu, Nguyen Van Quy, A Dual Approach Based Extragradient-Type Method for Solving Quasi-Equilibrium Problems, Journal of Optimization Theory and Applications, Volume 208, article number 59, (2026) (2026)
3. 3. Le Dung Muu, Le Xuan Thanh, Nguyen Ngoc Hai, On the proximal mapping for multi-valued monotone variational inequality problems, Optimization Letters volume 17, pages 369–383 (2023) (2023)
4. 4. Le Hai Yen, Le Dung Muu, A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets, Optimization 71 (2022), no. 15, 4447–4462, (2022)
5. 5. Le Dung Muu, Le Xuan Thanh, On fixed point approach to equilibrium problem, Journal of Fixed Point Theory and Applications, 23 (2021), Article number: 50, (2021)
6. 6. Le Hai Yen, Le Dung Muu, A subgradient method for equilibrium problems involving quasiconvex bifunctions, Operations Research Letter 48 (2020), 579-583 (2020)
7. 7. Dang Van Hieu, Jean Jacques Strodiot, Le Dung Muu, An Explicit Extragradient Algorithm for Solving Variational Inequalities, Journal of Optimization Theory and Applications volume 185 (2020), 476–503 (2020)
8. 8. Le Hai Yen, Nguyen Thi Thanh Huyen, Le Dung Muu, A subgradient algorithm for a class of nonlinear split feasibility problems: application to jointly constrained Nash equilibrium models, Journal of Global Optimization 73 (2019), 849–868 (2019)
9. 9. Dang Van Hieu, Dang Xuan Son, Pham Ky Anh, Le Dung Muu, A Two-Step Extragradient-Viscosity Method for Variational Inequalities and Fixed Point Problems, Acta Mathematica Vietnamica, 44 (2019), pp 531–552 (2019)
10. 10. Le Dung Muu, Le Xuan Thanh, A splitting algorithm for finding fixed points of nonexpansive mappings and solving equilibrium problems, Journal of Fixed Point Theory and Applications, 20:130, 2018 (2018)
11. 11. 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 (2017)
12. 12. Pham Ky Anh, Tran Viet Anh, Le Dung Muu, On Bilevel Split Pseudomonotone Variational Inequality Problems with Applications, Acta Mathematica Vietnamica, 42 (2017), 413–429 (2017)
13. 13. Dang Van Hieu, Pham Ky Anh, Le Dung Muu, Modified hybrid projection methods for finding common solutions to variational inequality problems, Computational Optimization and Applications, 66 (2017), 75–96 (2017)
14. 14. Phung Minh Duc, Le Dung Muu, A splitting algorithm for a class of bilevel equilibrium problems involving nonexpansive mappings, Optimization, 65 (2016), 1855-1866 (2016)
15. 15. 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 Operations Research, 84, (2016), 549-565 (2016)
16. 16. Phung Minh Duc, Le Dung Muu, Nguyen Van Quy, Solution-Existence and Algorithms with Their Convergence Rate for Strongly Pseudomonotone Equilibrium Problems, Pacific Journal of Optimization 12 (2016), 833-845 (2016)
17. 17. Dang Van Hieu, Le Dung Muu, Pham Ky Anh, Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings, Numerical Algorithms, 73 (2016), 197-217 (2016)
18. 18. Tran Viet Anh, Le Dung Muu, A projection-fixed point method for a class of bilevel variational inequalities with split fixed point constraints., Optimization 65 (2016), 1229–1243 (2016)
19. 19. Nguyen Kieu Linh, Le Dung Muu, A convex hull algorithm for solving a location problem., RAIRO - Operations Research 49 (2015), 589–600 (2015)
20. 20. Le Quang Thuy, Le Dung Muu, A Hybrid method for a system involving equilibrium problems, variational inequalitíes and nonexpansive semigroup, Journal of the Korean Mathematical Society, 28 (2015), 457-478 (2015)
21. 21. Bui Van Dinh, Le Dung Muu, A projection algorithm for solving pseudomonotone equilibrium problems and its application to a class of bilevel equilibria, Optimization 64 (2015), 559–575 (2015)
22. 22. Le Dung Muu, Nguyen Van Quy, On Existence and Solution Methods for Strongly Pseudomonotone Equilibrium Problems,, Vietnam Journal of Mathematics, 43(2015), 229-238 (2015)
23. 23. Le Dung Muu, Le Quang Thuy, DC optimization algorithms for solving mimax flow problems, Mathematical Methods of Operations Research, 80 (2014), 83-97 (2014)
24. 24. Bui Van Dinh, Pham Gia Hung, Le Dung Muu, Bilevel optimization as a regularization approach to pseudomonotone equilibrium problems, Numerical Functional Analysis and Optimization 35 (2014), 539–563 (2014)
25. 25. Pham Ngoc Anh, Le Dung Muu, A hybrid subgradient algorithm for nonexpansive mappings and equilibrium problems, Optimization Letters 8 (2014), 727–738 (2014)
26. 26. Bui Van Dinh, Le Dung Muu, Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities, Acta Mathematica Vietnamica 38 (2013), 529 - 540. (2013)
27. 27. Le Dung Muu, Pham Gia Hung, On inexact Tikhonov and proximal point regularization methods for solving pseudomonotone equilibrium problems, Vietnam Journal of Mathematics, 40 (2012), 255 -- 274 (2012)
28. 28. Le Dung Muu, Tran Dinh Quoc, Le Thi Hoai An, Pham Dinh Tao, A New decomposition algorithms for globally solving mathematical programs with affine equilibrium constraints, Acta Mathematica Vietnamica, 37 (2012), 201 -- 217 (2012)
29. 29. Tran Dinh Quoc, Pham Ngoc Anh, Le Dung Muu, Dual extragradient algorithms extendeded to equilibrium problems, Journal of Global Optimization, 52 (2012), 139 -- 159 (2012)
30. 30. Tran Dinh Quoc, Le Dung Muu, Iterative methods for solving equilibrium problems via dual gap function, Computtational Optimization and Applications, 51 (2012), 709 -- 728 (2012)
31. 31. Pham Ngoc Anh, J. K. Kim, Le Dung Muu, An extragradient algorithm for solving bilevel pseudomonotone variational inequalities, Journal of Global Optimization, 52 (2012), pp 627–639 (2012)
32. 32. Le Dung Muu, Le Quang Thuy, Smooth optimization algorithms for optimizing over the Pareto efficient set and their application to minmax flow problem, Vietnam Journal of Mathematics 39 (2011), 31 - 48 (2011)
33. 33. Pham Gia Hung, Le Dung Muu, The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions, Nonlinear Analyzis: Theory, Methods & Applications, 74 (2011), 6121 - 6129 (2011)
34. 34. Tran Dinh Quoc, Le Dung Muu, A splitting proximal method Nash-Cournot equilibrium models involving nonconvex cost functions, Journal of Nonlinear and Convex Analysis12, 501 -- 519 (2011)
35. 35. Bui Van Dinh, Le Dung Muu, On Penalty and gap function methods for bilevel pseudomonotone equilibrium problems, Journal of Applied Mathematics, 2011 (2011), 14p (2011)
36. 36. Le Dung Muu, D. X. Luong, Combining the projection method and the penalty function to solve the variational inequalities with monotone mappings, International Journal of Optimization. Theory Methods and Applications, 2 (2010), 124–137. (2010)
37. 37. Le Dung Muu, Tran Dinh Quoc, One step from DC optimization to DC mixed variational inequalities, Optimization, 59 (2010), 63 -- 76 (2010)
38. 38. Le Thi Hoai An, Pham Dinh Tao, Nguyen Canh Nam, Le Dung Muu, Methods for optimization over the efficient and weakly efficient sets of an affine fractional vector optimization program, Optimization, 59 (2010), 77 -- 93 (2010)
39. 39. Le Dung Muu, Tran Dinh Quoc, Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibria model, Journal of Optimization Theory and Applications, 142 (2009), 185-204. (2009)
40. 40. Pham Ngoc Anh, Le Dung Muu, Jean-Jacques Strodiot, Generalized projection method for non-Lipschitz multivalued monotone variational inequalities,, Acta Mathematica Vietnamica, 34 (2009), 67-80. (2009)
41. 41. Tran Dinh Quoc, Le Dung Muu, Nguyen Van Hien, Extragradient algorithms extended to equilibrium problems, Optimization 57 (2008), 749 - 776 (2008)
42. 42. Le Dung Muu, Nguyen Van Quy, On branch-and-bound algorithms for global optimal solutions to mathematical programs with affine equilibrium constraints, Vietnam J. Math. 35 (2007), 523 - 539 (2007)
43. 43. Pham Ngoc Anh, Le Dung Muu, Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities, Optimization with multivalued mappings, 231 - 249, Springer Optim. Appl. 2, Springer, New York, 2006. (2006)
44. 44. Pham Ngoc Anh, Le Dung Muu, Lagrangian duality algorithms for finding a global optimal solution to mathematical programs with affine equilibrium constraints, Nonlinear Dynamics and Systems Theory, 6 (2006), N0 3, 225 - 244. (2006)
45. 45. Pham Ngoc Anh, Le Dung Muu, Nguyen Van Hien, Jean-Jacques Strodiot, Using the Banach contraction principle to implement the proximal point method for multivalued monotone variational inequalities, Journal of Optimization Theory and Applications, 124 (2005), 285–306. (2005)
46. 46. Pham Ngoc Anh, Le Dung Muu, Nguyen Van Hien, Jean-Jacques Strodiot, On the contraction and nonexpansiveness properties of the marginal mappings in generalized variational inequalities involving co-coercive operators, . In: Generalized convexity, generalized monotonicity and applications, 89-111, Nonconvex Optim. Appl. 77, Springer, New York, 2005. (2005)
47. 47. Tran Dinh Quoc, Le Dung Muu, Implementable quadratic regularization methods for solving pseudomonotone equilibrium problems, East-West Journal of Mathematics,. 6 (2004), 101–123. (2004)
48. 48. Pham Ngoc Anh, Le Dung Muu, Coupling the Banach contraction mapping principle and the proximal point algorithm for solving monotone variational inequalities, Acta Mathematica Vietnamica, 29 (2004), 119 - 133. (2004)
49. 49. Le Thi Hoai An, Pham Dinh Tao, Le Dung Muu, Simplicially-constrained DC optimization over efficient and weakly efficient sets, Journal of Optimization Theory and Applications, 117 (2003), 503 - 531. (2003)
50. 50. Le Dung Muu, Nguyen Van Quy, A global optimization method for solving convex quadratic bilevel programming problems, Journal of Global Optimization, 26 (2003), 199 - 219 (2003)
51. 51. Le Dung Muu, Hoang Quang Tuyen, Bilinear programming approach to optimization over the efficient set of a vector affine fractional problem, Acta Mathematica Vietnamica, 27 (2002), 119 - 139. (2002)
52. 52. Le Dung Muu, Nguyen Van Quy, Methods for finding global optimal solutions to linear programs with equilibrium constraints, Vietnam Journal of Mathematics, 30 (2002), 189 - 194 (2002)
53. 53. Nguyen Thi Bach Kim, Le Dung Muu, On the projection of the efficient set and potential applications, Optimization 51 (2002), 401 - 421 (2002)
54. 54. Nguyen Van Quy, Le Dung Muu, On penalty function method for a class of nonconvex constrained optimization problems, Vietnam Journal of Mathematics, 29 (2001), 235 - 256. (2001)
55. 55. Le Dung Muu, Nguyen Van Quy, Methods for finding global optimal solutions to linear programs with equilibrium constraints. Dedicated to Pham Huu Sach on the occasion of his sixtieth birthday, Acta Mathematica Vietnamica, 26 (2001), 333 - 347 (2001)
56. 56. Le Dung Muu, Werner. Oettli, Optimization over equilibrium sets. In celebration of Prof. Dr. Alfred Gopfert 65th birthday., Optimization 49 (2001), N0 1-2, 179 - 189. (2001)
57. 57. Hoang Quang Tuyen, Le Dung Muu, Biconvex programming approach to optimization over the weakly efficient set of a multiple objective affine fractional problem, Operations Research Letters, 28 (2001), 81 - 92 (2001)
58. 58. Le Dung Muu, On the construction of initial polyhedral convex set for optimization problems over the efficient set and bilevel linear programs, Vietnam Journal of Mathematics, 28 (2000), 177 - 182. (2000)
59. 59. J. Fülöp, Le Dung Muu, Branch-and-bound variant of an outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem, Journal of Optimization Theory and Applications, 105 (2000), 37 - 54. (2000)
60. 60. Le Dung Muu, A convex-concave programming method for optimizing over the efficient set, Acta Mathematica Vietnamica, 25 (2000), 67 - 85. (2000)
61. 61. Le Thi Hoai An, Pham Dinh Tao, Le Dung Muu, Exact penalty in DC programming. Vietnam, J. Math. 27 (1999), 169 - 178. (1999)
62. 62. Le Thi Hoai An, Pham Dinh Tao, Le Dung Muu, A combined D.C. optimization-ellipsoidal branch-and-bound algorithm for solving nonconvex quadratic programming problems, Journal of Combinatorial Optimization, 2 (1998), 9 - 28. (1998)
63. 63. Le Tu Luc, Le Dung Muu, Global optimization approach to optimization over the efficient set, In: the Proceeding of 8th French-German Conference on Optimization. Springer Verlag, Berlin, 1997, 213 - 221. (1997)
64. 64. Nguyen Vu Tien, Le Dung Muu, A relaxation algorithm for solving mixed integer programming problems, Acta Mathematica Vietnamica, 22 (1997), 367 - 378. (1997)
65. 65. Le Dung Muu, Le Tu Luc, On equivalence between convex maximization and optimization over the efficient set, Vietnam J. Math. 24 (1996), 439 - 445. (1996)
66. 66. Le Thi Hoai An, Pham Dinh Tao, Le Dung Muu, Numerical solution for optimization over the efficient set by D. C. optimization algorithm, Operations Research Letters 19 (1996), 117 - 128 (1996)
67. 67. Nguyen Dinh Dan, Le Dung Muu, Parametric simplex method for optimizing a linear function over the efficient set of a bicriteria linear problem, Acta Mathematica Vietnamica, 21 (1996), 59 - 67 (1996)
68. 68. Nguyen Anh Tuan, Pham Canh Duong, Le Dung Muu, A decomposition method for finding a global optimal solution to a water distribution network, Acta Mathematica Vietnamica, 21 (1996), 309 - 333. (1996)
69. 69. Le Dung Muu, Computational aspects of optimization over the efficient set, Vietnam J. Math. 23 (1995), 85 - 106. (1995)
70. 70. Le Dung Muu, Thai Quynh Phong, Pham Dinh Tao, Decomposition methods for solving a class of nonconvex programming problems dealing with bilinear and quadratic function, Computational Optimization and Applications, 4 (1995), 203 - 216. (1995)
71. 71. Le Dung Muu, Bui The Tam, S. Schaible, Efficient algorithms for solving certain nonconvex optimization problems dealing with the product of two affine fractional functions, Journal of Global Optimization, 6 (1995), 179 - 191 (1995)
72. 72. Hoang Tuy, Nguyen Van Thoai, Le Dung Muu, A modification of Scarf's algorithm allowing restarting, Math. Oper. Stati. Ser. Optim. 9 (1978), 357 - 372 (1978)
73. 73. Hoang Tuy, Nguyen Van Thoai, Le Dung Muu, Un nouvel algorithme de point fixe, C. R. Acad. Sci. Paris 286 (1978), Ser. A, 783 - 785 (1978)

Preprints

1. 1. Le Dung Muu, Nguyen Van Quy, Algorithms for finding global and local equilibrium points of Nash-Cournot equilibrium models involving concave cost. (2017)
2. 2. Pham Thi Hoai, Le Dung Muu, Finding the Edgeworth-Pareto hull and its application to optimization over the efficient set of multiple objective discrete linear programs (2016)