Công bố khoa học

• Công bố khoa học

  1.  Lê Xuân Thanh, Lê Dũng Mưu, Nguyễn Văn Quý, A Dual Approach Based Extragradient-Type Method for Solving Quasi-Equilibrium Problems, Journal of Optimization Theory and Applications, Volume 208, article number 59, (2026)

  2.  Lê Dũng Mưu, Lê Xuân Thanh, Nguyễn Ngọc Hải, On the proximal mapping for multi-valued monotone variational inequality problems, Optimization Letters volume 17, pages 369–383 (2023)

  3.  Lê 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).

  4.  Lê 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).

  5.  Đặng Văn Hiếu, 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).

  6.  Lê Hải Yến, Lê Dũng Mưu, A subgradient method for equilibrium problems involving quasiconvex bifunctions, Operations Research Letter 48 (2020), 579-583 (SCI-E, Scopus).

  7.  Lê Hải Yến, Nguyễn Thị Thanh Huyền, Lê Dũng Mưu, 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).

  8.  Đặng Văn Hiếu, Dang Xuan Son, Phạm Kỳ 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).

  9.  Lê 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).

  10.  Đặng Văn Hiếu, Phạm Kỳ 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).

  11.  Phạm Kỳ Anh, Trần Việt Anh, Lê Dũng Mưu, On Bilevel Split Pseudomonotone Variational Inequality Problems with Applications, Acta Mathematica Vietnamica, 42 (2017), 413–429 (Scopus).

  12.  Lê Quang Thủy, Phạm Kỳ Anh, Lê Dũng Mưu, Trịnh Ngọc Hải, Novel Hybrid Methods for Pseudomonotone Equilibrium Problems and Common Fixed Point Problems, Numerical Functional Analysis and Optimization, 38 (2017), 443–465 (SCI(-E); Scopus).

  13.  Đặng Văn Hiếu, Lê Dũng Mưu, Phạm Kỳ Anh, Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings, Numerical Algorithms, 73 (2016), 197-217 (SCI(-E); Scopus).

  14.  Phùng Minh Đức, Lê Dũng Mưu, Nguyễn Văn Quý, Solution-Existence and Algorithms with Their Convergence Rate for Strongly Pseudomonotone Equilibrium Problems, Pacific Journal of Optimization 12 (2016), 833-845 (SCI(-E); Scopus).

  15.  Lê Hải Yến, Lê Dũng Mưu, Nguyễn Thị Thanh Huyền, 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).

  16.  Phùng Minh Đức, Lê Dũng Mưu, A splitting algorithm for a class of bilevel equilibrium problems involving nonexpansive mappings, Optimization, 65 (2016), 1855-1866 (SCI(-E); Scopus).

  17.  Trần Việt 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).

  18.  Lê Dũng Mưu, Nguyễn Văn Quý, On Existence and Solution Methods for Strongly Pseudomonotone Equilibrium Problems,, Vietnam Journal of Mathematics, 43(2015), 229-238 (Scopus).

  19.  Bùi Văn Định, 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).

  20.  Lê Quang Thủy, 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).

  21.  Nguyen Kieu Linh, Lê Dũng Mưu, A convex hull algorithm for solving a location problem., RAIRO - Operations Research 49 (2015), 589–600 (SCI(-E), Scopus).

  22.  Phạm Ngọc Anh, Lê Dũng Mưu, A hybrid subgradient algorithm for nonexpansive mappings and equilibrium problems, Optimization Letters 8 (2014), 727–738 (SCI(-E); Scopus).

  23.  Bùi Văn Định, Phạm Gia Hưng, 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).

  24.  Lê Dũng Mưu, Lê Quang Thủy, DC optimization algorithms for solving mimax flow problems, Mathematical Methods of Operations Research, 80 (2014), 83-97 (SCI(-E), Scopus).

  25.  Bùi Văn Định, Lê Dũng Mưu, Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities, Acta Mathematica Vietnamica 38 (2013), 529 - 540.

  26.  Phạm Ngọc Anh, J. K. Kim, Lê Dũng Mưu, An extragradient algorithm for solving bilevel pseudomonotone variational inequalities, Journal of Global Optimization, 52 (2012), pp 627–639

  27.  Tran Dinh Quoc, Lê Dũng Mưu, Iterative methods for solving equilibrium problems via dual gap function, Computtational Optimization and Applications, 51 (2012), 709 -- 728

  28.  Tran Dinh Quoc, Phạm Ngọc Anh, Lê Dũng Mưu, Dual extragradient algorithms extendeded to equilibrium problems, Journal of Global Optimization, 52 (2012), 139 -- 159

  29.  Lê Dũng Mưu, 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

  30.  Lê Dũng Mưu, Phạm Gia Hưng, On inexact Tikhonov and proximal point regularization methods for solving pseudomonotone equilibrium problems, Vietnam Journal of Mathematics, 40 (2012), 255 -- 274

  31.  Bùi Văn Định, Lê Dũng Mưu, On Penalty and gap function methods for bilevel pseudomonotone equilibrium problems, Journal of Applied Mathematics, 2011 (2011), 14p

  32.  Tran Dinh Quoc, Lê Dũng Mưu, A splitting proximal method Nash-Cournot equilibrium models involving nonconvex cost functions, Journal of Nonlinear and Convex Analysis12, 501 -- 519

  33.  Phạm Gia Hưng, Lê Dũng Mưu, The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions, Nonlinear Analyzis: Theory, Methods & Applications, 74 (2011), 6121 - 6129

  34.  Lê Dũng Mưu, Lê Quang Thủy, 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

  35.  Le Thi Hoai An, Pham Dinh Tao, Nguyen Canh Nam, Lê Dũng Mưu, Methods for optimization over the efficient and weakly efficient sets of an affine fractional vector optimization program, Optimization, 59 (2010), 77 -- 93

  36.  Lê Dũng Mưu, Tran Dinh Quoc, One step from DC optimization to DC mixed variational inequalities, Optimization, 59 (2010), 63 -- 76

  37.  Lê 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.

  38.  Phạm Ngọc Anh, Lê Dũng Mưu, Jean-Jacques Strodiot, Generalized projection method for non-Lipschitz multivalued monotone variational inequalities,, Acta Mathematica Vietnamica, 34 (2009), 67-80.

  39.  Lê Dũng Mưu, 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.

  40.  Tran Dinh Quoc, Lê Dũng Mưu, Nguyen Van Hien, Extragradient algorithms extended to equilibrium problems, Optimization 57 (2008), 749 - 776

  41.  Lê Dũng Mưu, Nguyễn Văn Quý, On branch-and-bound algorithms for global optimal solutions to mathematical programs with affine equilibrium constraints, Vietnam J. Math. 35 (2007), 523 - 539

  42.  Phạm Ngọc Anh, Lê Dũng Mưu, 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.

  43.  Phạm Ngọc 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.

  44.  Phạm Ngọc Anh, Lê Dũng Mưu, 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.

  45.  Phạm Ngọc Anh, Lê Dũng Mưu, 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.

  46.  Phạm Ngọc Anh, Lê Dũng Mưu, Coupling the Banach contraction mapping principle and the proximal point algorithm for solving monotone variational inequalities, Acta Mathematica Vietnamica, 29 (2004), 119 - 133.

  47.  Tran Dinh Quoc, Lê Dũng Mưu, Implementable quadratic regularization methods for solving pseudomonotone equilibrium problems, East-West Journal of Mathematics,. 6 (2004), 101–123.

  48.  Lê Dũng Mưu, Nguyễn Văn Quý, A global optimization method for solving convex quadratic bilevel programming problems, Journal of Global Optimization, 26 (2003), 199 - 219

  49.  Le Thi Hoai An, Pham Dinh Tao, Lê Dũng Mưu, Simplicially-constrained DC optimization over efficient and weakly efficient sets, Journal of Optimization Theory and Applications, 117 (2003), 503 - 531.

  50.  Nguyen Thi Bach Kim, Lê Dũng Mưu, On the projection of the efficient set and potential applications, Optimization 51 (2002), 401 - 421

  51.  Lê Dũng Mưu, Nguyễn Văn Quý, Methods for finding global optimal solutions to linear programs with equilibrium constraints, Vietnam Journal of Mathematics, 30 (2002), 189 - 194

  52.  Lê Dũng Mưu, 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.

  53.  Hoang Quang Tuyen, Lê Dũng Mưu, Biconvex programming approach to optimization over the weakly efficient set of a multiple objective affine fractional problem, Operations Research Letters, 28 (2001), 81 - 92

  54.  Lê 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.

  55.  Lê Dũng Mưu, Nguyễn Văn Quý, 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

  56.  Nguyễn Văn Quý, Lê Dũng Mưu, On penalty function method for a class of nonconvex constrained optimization problems, Vietnam Journal of Mathematics, 29 (2001), 235 - 256.

  57.  Lê Dũng Mưu, A convex-concave programming method for optimizing over the efficient set, Acta Mathematica Vietnamica, 25 (2000), 67 - 85.

  58.  J. 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, Journal of Optimization Theory and Applications, 105 (2000), 37 - 54.

  59.  Lê Dũng Mưu, 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.

  60.  Le Thi Hoai An, Pham Dinh Tao, Lê Dũng Mưu, Exact penalty in DC programming. Vietnam, J. Math. 27 (1999), 169 - 178.

  61.  Le 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, Journal of Combinatorial Optimization, 2 (1998), 9 - 28.

  62.  Hoàng Tụy, Nguyễn Văn Thoại, Lê Dũng Mưu, A modification of Scarf's algorithm allowing restarting, Math. Oper. Stati. Ser. Optim. 9 (1978), 357 - 372

  63.  Hoàng Tụy, Nguyễn Văn Thoại, Lê Dũng Mưu, Un nouvel algorithme de point fixe, C. R. Acad. Sci. Paris 286 (1978), Ser. A, 783 - 785

• Tiền ấn phẩm

  1.  IMH20170903,  Lê Dũng Mưu,  Nguyễn Văn Quý, 

  Algorithms for finding global and local equilibrium points of Nash-Cournot equilibrium models involving concave cost.

  .

  2.  IMH20161203,  Phạm Thị Hoài,  Lê Dũng Mưu, 

  Finding the Edgeworth-Pareto hull and its application to optimization over the efficient set of multiple objective discrete linear programs

  .