Lê Dũng Mưu
GS. TSKH. NCVCC (Cộng tác viên)

Cộng tác viên
Hướng nghiên cứu: Tối ưu hóa, bất đẳng thức biến phân, các bài toán cân bằng


Liên hệ
Phòng làm việc: 210, Nhà A5
Điện thoại: +84 (0)4 37563474/210
Email: ldmuu AT math.ac.vn

Lý lịch khoa học

Năm sinh: 1949
Nơi sinh: Thanh Hóa

  • Đại học: 1973 tại Trường Đại học Khoa học Budapest, Hungary
  • Tiến sĩ khoa học: 1999, Viện Toán học, Viện Hàn lâm khoa học, Việt Nam
  • Phó giáo sư: năm phong: 1996
  • Giáo sư: năm phong: 2003

Chuyên ngành: Tối ưu hóa

Các vị trí công tác đã qua: Trưởng phòng Tối ưu

Các lĩnh vực quan tâm: Tối ưu hóa, bất đẳng thức biến phân, các bài toán cân bằng

DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

Danh sách gần đây
1Lê Dũng Mưu, Lê Xuân Thanh, Nguyen Ngoc Hai , On the proximal mapping for multi-valued monotone variational inequality problems, Optimization Letters volume 17, pages 369–383 (2023), (SCI-E, Scopus).
2Lê Hải Yến, Lê Dũng Mưu, A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets. Optimization 71 (2022), no. 15, 4447–4462, (SCI-E, Scopus).
3Lê Dũng Mưu, Lê Xuân Thanh, On fixed point approach to equilibrium problem, Journal of Fixed Point Theory and Applications, 23 (2021), Article number: 50, (SCI-E, Scopus, Preprint: download here).
4Lê Hải Yến, Lê Dũng Mưu, A normal-subgradient algorithm for fixed point problems and quasiconvex equilibrium problems, Applied Set-Valued Analysis and Optimization, 2 (2020), No. 3, pp. 329-337.
5Lê Dũng Mưu, Nguyễn Văn Quý, Global Optimization fromConcave Minimization to Concave Mixed Variational Inequality, Acta Mathematica Vietnamica 45 (2020), 449-462, Scopus.
6Lê Hải Yến, Lê Dũng Mưu, A subgradient method for equilibrium problems involving quasiconvex bifunctions, Operations Research Letter 48 (2020), 579-583, SCI-E, Scopus.
7Dang Van Hieu, Jean Jacques Strodiot, Lê Dũng Mưu, An Explicit Extragradient Algorithm for Solving Variational Inequalities, Journal of Optimization Theory and Applications volume 185 (2020), 476–503, SCI(-E), Scopus.
8Lê Hải Yến, Nguyen Thi Thanh Huyen, Lê Dũng Mưu, Muu, Le Dung 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, SCI(-E); Scopus.
9Dang Van Hieu, Dang Xuan Son, Pham Ky Anh, Lê Dũng Mưu, A Two-Step Extragradient-Viscosity Method for Variational Inequalities and Fixed Point Problems, Acta Mathematica Vietnamica, 44 (2019), pp 531–552, Scopus.
10Lê Dũng Mưu, Lê Xuân 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, SCI(-E); Scopus.
11Le Quang Thuy, Pham Ky Anh, Lê Dũng Mưu, Trinh Ngoc Hai, Novel Hybrid Methods for Pseudomonotone Equilibrium Problems and Common Fixed Point Problems, Numerical Functional Analysis and Optimization, 38 (2017), 443–465,SCI(-E); Scopus.
12Pham Ky Anh, Tran Viet Anh, Lê Dũng Mưu, On Bilevel Split Pseudomonotone Variational Inequality Problems with Applications, Acta Mathematica Vietnamica, 42 (2017), 413–429, Scopus.
13Dang Van Hieu, Pham Ky Anh, Lê Dũng Mưu, Modified hybrid projection methods for finding common solutions to variational inequality problems, Computational Optimization and Applications, 66 (2017), 75–96, SCI(-E); Scopus.
14Phung Minh Duc , Lê Dũng Mưu, A splitting algorithm for a class of bilevel equilibrium problems involving nonexpansive mappings, Optimization, 65 (2016), 1855-1866, SCI(-E); Scopus.
15Lê Hải Yến, Lê Dũng Mưu, 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, SCI(-E); Scopus.
16Phung Minh Duc, Lê Dũng Mưu, Nguyen Van Quy, Solution-Existence and Algorithms with Their Convergence Rate for Strongly Pseudomonotone Equilibrium Problems, Pacific Journal of Optimization 12 (2016), 833-845, SCI(-E); Scopus.
17Dang Van Hieu, Lê Dũng Mưu, Pham Ky Anh, Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings, Numerical Algorithms, 73 (2016), 197-217,SCI(-E); Scopus.
18Tran Viet Anh, Lê Dũng Mưu, A projection-fixed point method for a class of bilevel variational inequalities with split fixed point constraints. Optimization 65 (2016), 1229–1243,SCI(-E); Scopus.
19Le Quang Thuy, Lê Dũng Mưu, A Hybrid method for a system involving equilibrium problems, variational inequalitíes and nonexpansive semigroup, Journal of the Korean Mathematical Society, 28 (2015), 457-478,SCI(-E); Scopus.
20Bui Van Dinh, Lê Dũng Mưu, A projection algorithm for solving pseudomonotone equilibrium problems and its application to a class of bilevel equilibria, Optimization 64 (2015), 559–575, SCI(-E); Scopus.
21Nguyen Kieu Linh, Lê Dũng Mưu, A convex hull algorithm for solving a location problem. RAIRO - Operations Research 49 (2015), 589–600, SCI(-E), Scopus.
22Lê Dũng Mưu, Nguyen Van Quy, On Existence and Solution Methods for Strongly Pseudomonotone Equilibrium Problems, Vietnam Journal of Mathematics, 43(2015), 229-238,Scopus.
23Lê Dũng Mưu, Le Quang Thuy, DC optimization algorithms for solving mimax flow problems, Mathematical Methods of Operations Research, 80 (2014), 83-97, SCI(-E), Scopus.
24Bui Van Dinh, Pham Gia Hung, Lê Dũng Mưu, Bilevel optimization as a regularization approach to pseudomonotone equilibrium problems. Numerical Functional Analysis and Optimization 35 (2014), 539–563, SCI(-E), Scopus.
25P. N. Anh, Lê Dũng Mưu, A hybrid subgradient algorithm for nonexpansive mappings and equilibrium problems, Optimization Letters 8 (2014), 727–738, SCI(-E); Scopus.
26Lê Dũng Mưu, Bui Van Dinh, Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities, Acta Mathematica Vietnamica 38 (2013), 529 - 540.
27Lê Dũng Mưu, Pham Gia Hung, On  inexact Tikhonov and proximal point regularization methods for solving pseudomonotone equilibrium problems,  Vietnam Journal of Mathematics,  40 (2012), 255 -- 274, Scopus.
28Lê Dũng Mưu, Q. Tran Dinh, L. T. H. An and P. D. Tao, A New decomposition algorithms for globally solving mathematical programs with affine equilibrium constraints,  Acta Mathematica Vietnamica, 37 (2012), 201 -- 217, Scopus.
29Lê Dũng Mưu, Tran D. Quoc and Pham N. Anh, Dual extragradient algorithms extendeded to equilibrium problems,  Journal of Global Optimization, 52 (2012), 139 -- 159, SCI(-E); Scopus.
30Tran D. Quoc, Lê Dũng Mưu, Iterative methods for solving equilibrium problems via dual gap function,  Computtational Optimization and Applications, 51 (2012), 709 -- 728, SCI(-E); Scopus.
31Lê Dũng Mưu, Pham N. Anh and J. Kim, An extragradient algorithm for solving bilevel pseudomonotone variational inequalities; Journal of Global Optimization, 52 (2012), pp 627–639, SCI(-E); Scopus.
32Lê Dũng Mưu, L. Q. 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, Scopus.
33Lê Dũng Mưu, P. G. Hung, The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions,  Nonlinear Analyzis: Theory, Methods & Applications, 74 (2011), 6121 - 6129, SCI(-E); Scopus.
34Lê Dũng Mưu, Tran Dinh Quoc, A splitting proximal method Nash-Cournot equilibrium models involving nonconvex cost functions, Journal of Nonlinear and Convex Analysis12, 501 -- 519, SCI(-E); Scopus.
35Lê Dũng Mưu, Bui Van Dinh, On Penalty and gap function methods for bilevel pseudomonotone equilibrium problems,  Journal of Applied Mathematics, 2011 (2011), 14p, Scopus.
36Lê Dũng Mưu, 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.
37Lê Dũng Mưu, T. D. Quoc, One step from DC optimization to DC mixed variational inequalities, Optimization, 59 (2010), 63 -- 76, SCI(-E); Scopus.
38Lê Dũng Mưu, L. T. H. An, P. D. Tao and N. C. Nam), Methods for optimization over the efficient and weakly efficient sets of an affine fractional vector optimization program, Optimization, 59 (2010), 77 -- 93, SCI(-E); Scopus.
39Lê Dũng Mưu, T. D. Quoc, Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibria model, J. Optimization Theory and Application, 142 (2009), 185-204.
40Lê Dũng Mưu, P.N.Anh and J-J. Strodiot, Generalized projection method for non-Lipschitz multivalued monotone variational inequalities, Acta Math. Vietnamica, 34 (2009), 67-80.
41Lê Dũng Mưu, N. V. Hien and N. V. Quy, On Nash-Cournot oligopolistic market equilibrium models with concave cost functions, J. Global Optim. 41 (2008), 351 - 364.
42T. D. Quoc, Lê Dũng Mưu, and N. V. Hien, Extragradient algorithms extended to equilibrium problems, Optimization 57 (2008), 749 - 776.
43Lê Dũng Mưu, 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.
44Pham Ngoc Anh, Lê Dũng Mưu, 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.
45Pham Ngoc Anh, Lê Dũng Mưu, Lagrangian duality algorithms for finding a global optimal solution to mathematical programs with affine equilibrium constraints, Nonlinear Dyn. Syst. Theory 6 (2006), N0 3, 225 - 244.
46 P. N. Anh, Lê Dũng Mưu, V. H. Nguyen, J. J. Strodiot, Using the Banach contraction principle to implement the proximal point method for multivalued monotone variational inequalities. J. Optim. Theory Appl. 124 (2005),  285–306.
47Pham Ngoc Anh, Lê Dũng Mưu, Van Hien Nguyen, 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.
48Tran Dinh Quoc, Lê Dũng Mưu, Implementable quadratic regularization methods for solving pseudomonotone equilibrium problems. East-West J. Math. 6 (2004), 101–123.
49Pham Ngoc Anh, Lê Dũng Mưu, Coupling the Banach contraction mapping principle and the proximal point algorithm for solving monotone variational inequalities,Acta Math. Vietnam. 29 (2004), 119 - 133.
50H.A. Le Thi, T. Pham Dinh, Lê Dũng Mưu, Simplicially-constrained DC optimization over efficient and weakly efficient sets, J. Optim. Theory Appl. 117 (2003), 503 - 531.
51Lê Dũng Mưu, Nguyen Van Quy, A global optimization method for solving convex quadratic bilevel programming problems, J. Global Optim. 26 (2003), 199 - 219.
52Lê Dũng Mưu, Hoang Quang Tuyen, Bilinear programming approach to optimization over the efficient set of a vector affine fractional problem, Acta Math. Vietnam. 27 (2002), 119 - 139.
53Lê Dũng Mưu, Nguyen Van Quy, Methods for finding global optimal solutions to linear programs with equilibrium constraints, Vietnam J. Math. 30 (2002), 189 - 194.
54Nguyen Thi Bach Kim, Lê Dũng Mưu, On the projection of the efficient set and potential applications, Optimization 51 (2002), 401 - 421.
55Nguyen Van Quy, Lê Dũng Mưu, On penalty function method for a class of nonconvex constrained optimization problems. Vietnam J. Math. 29 (2001), 235 - 256.
56Lê Dũng Mưu, 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 Math. Vietnam. 26 (2001), 333 - 347.
57Lê Dũng Mưu, Werner. Oettli, Optimization over equilibrium sets. In celebration of Prof. Dr. Alfred Gopfert 65th birthday. Optimization 49 (2001), N0 1-2, 179 - 189.
58Hoang Q. Tuyen, Lê Dũng Mưu, Biconvex programming approach to optimization over the weakly efficient set of a multiple objective affine fractional problem. Oper. Res. Lett. 28 (2001), 81 - 92.
59Lê Dũng Mưu, On the construction of initial polyhedral convex set for optimization problems over the efficient set and bilevel linear programs, Vietnam J. Math. 28 (2000), 177 - 182.
60J. Fülöp, Lê Dũng Mưu, Branch-and-bound variant of an outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem. J. Optim. Theory Appl. 105 (2000), 37 - 54.
61Lê Dũng Mưu, A convex-concave programming method for optimizing over the efficient set. Acta Math. Vietnam. 25 (2000), 67 - 85.
62Le Thi Hoai An, Pham Dinh Tao, Lê Dũng Mưu, Exact penalty in DC programming. Vietnam J. Math. 27 (1999), 169 - 178.
63Le Thi Hoai An, Pham Dinh Tao, Lê Dũng Mưu, A combined D.C. optimization-ellipsoidal branch-and-bound algorithm for solving nonconvex quadratic programming problems. J. Comb. Optim. 2 (1998), 9 - 28.
64Le Tu Luc, Lê Dũng Mưu, 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.
65Lê Dũng Mưu, N. V. Tien, A relaxation algorithm for solving mixed integer programming problems. Acta Math. Vietnam. 22 (1997), 367 - 378.
66Lê Dũng Mưu, Le Tu Luc, On equivalence between convex maximization and optimization over the efficient set. Vietnam J. Math. 24 (1996), 439 - 445.
67Le Thi Hoai An, Pham Dinh Tao, Lê Dũng Mưu, Numerical solution for optimization over the efficient set by D. C. optimization algorithm. Operations Research Letters 19 (1996), 117 - 128.
68Nguyen Dinh Dan, Lê Dũng Mưu, Parametric simplex method for optimizing a linear function over the efficient set of a bicriteria linear problem. Acta Math. Vietnam. 21 (1996), 59 - 67.
69Nguyen Anh Tuan, Lê Dũng Mưu, Pham Canh Duong, A decomposition method for finding a global optimal solution to a water distribution network. Acta Math. Vietnam. 21 (1996), 309 - 333.
70Lê Dũng Mưu, Computational aspects of optimization over the efficient set. Vietnam J. Math. 23 (1995), 85 - 106.
71Lê Dũng Mưu, Thai Quynh Phong, Pham Dinh Tao, Decomposition methods for solving a class of nonconvex programming problems dealing with bilinear and quadratic function. Comput. Optim. Appl. 4 (1995), 203 - 216.
72Lê Dũng Mưu, Bui The Tam, S. Schaible, Efficient algorithms for solving certain nonconvex optimization problems dealing with the product of two affine fractional functions. J. Global Optim. 6 (1995), 179 - 191.
73Lê Dũng Mưu, Bui The Tam, Efficient methods for solving certain bilinear programming problems. Acta Math. Vietnam. 19(1994), 97 - 110.
74R. Horst, Lê Dũng Mưu, M. Nast, Branch-and-bound decomposition approach for solving quasiconvex-concave programs. J. Optim. Theory Appl. 82 (1994), 267 - 293.
75Lê Dũng Mưu, Convex-concave programming as a decomposition approach to global optimization. Acta Math. Vietnam. 18 (1993), 61 - 77.
76W. Oettli, Lê Dũng Mưu, Combimed branch-and-bound and cutting plane method for solving a certain class of nonconvex optimization problems. J. Global Optim. 3 (1993), 377 - 391.
77Lê Dũng Mưu, An algorithm for solving convex programs with an additional convex-concave constraint. Math. Programming 61 (1993), 75 - 87.
78Lê Dũng Mưu, Bui The Tam, Minimizing the sum of a convex function and the product of two affine functions over a convex set. Optimization 24 (1992), 57 - 62.
79Lê Dũng Mưu, W. Oettli, Convergence of an adaptive penalty method for monotone variational inequalities and convex optimization. Nonlinear Analysis: Theory, Methods and Applications 18 (1992), 1159 - 1166.
80Lê Dũng Mưu, On a Lagrangian penalty function method for convex programs. Appl. Math. Optim. 25 (1992), 1 - 9.
81Lê Dũng Mưu, W. Oettli, An algorithm for indefinite quadratic programming with convex constraints. Operations Resarch Letters 10 (1991), 323 - 327.
82Lê Dũng Mưu, W. Oettli, A method for minimizing a convex-concave function over a convex set. J. Optim. Theory Appl. 70 (1990), 377 - 384.
83Lê Dũng Mưu, W. Oettli, A Lagrangian penalty function method for monotone variational inequalities. Numer. Funct. Anal. Optim. 10 (1989), 1003 - 1017.
84Lê Dũng Mưu, An augmented penalty function method for solving a class of variational inequalities. Soviet Computational Mathematics and Mathematical Physics 12 (1986), 1788 - 1796.
85Lê Dũng Mưu, A convergent algorithm for solving linear programs with an additional reverse convex constraint. Kybernetika 91 (1986), 418 - 425 (in Russian).
86Lê Dũng Mưu, Stability property of a class of variational inequalities. Optimization 15 (1984), 347 - 351.
87Lê Dũng Mưu, Do Ba Khang, Asymtotic regularity and the strong convergence of the proximal point algorithm. Acta Math. Vietnam. 8 (1983), 3 - 11 (1984).
88Hoang Tuy, N. V. Thoai, Lê Dũng Mưu, A modification of Scarf's algorithm allowing restarting, Math. Oper. Stati. Ser. Optim. 9 (1978), 357 - 372.
89Hoang Tuy, N. V. Thoai, Lê Dũng Mưu, Un nouvel algorithme de point fixe. C. R. Acad. Sci. Paris 286 (1978), Ser. A, 783 - 785.
Tiền ấn phẩm
1IMH20170903, Lê Dũng Mưu, Nguyen Van Quy, Algorithms for finding global and local equilibrium points of Nash-Cournot equilibrium models involving concave cost.
2IMH20161203, P.T. Hoai, Lê Dũng Mưu, T.N. Thang, Finding the Edgeworth-Pareto hull and its application to optimization over the efficient set of multiple objective discrete linear programs
3IMH2014/02/01, Lê Dũng Mưu, Nguyen Van Quy, On Equilibrium Problems Involving, Strongly Pseudomonotone Bifunctions