Lê Dũng Mưu

ORCID: 0000-0003-3500-4493
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About
Contact & Profiles
Research Areas
  • Optimization and Variational Analysis
  • Advanced Optimization Algorithms Research
  • Contact Mechanics and Variational Inequalities
  • Fixed Point Theorems Analysis
  • Numerical methods in inverse problems
  • Optimization and Mathematical Programming
  • Economic theories and models
  • Aerospace Engineering and Control Systems
  • Sparse and Compressive Sensing Techniques
  • Topology Optimization in Engineering
  • Mathematical Inequalities and Applications
  • Facility Location and Emergency Management
  • Point processes and geometric inequalities
  • Advanced Multi-Objective Optimization Algorithms
  • Matrix Theory and Algorithms
  • Supply Chain and Inventory Management
  • Climate Change Policy and Economics
  • Economic and Environmental Valuation
  • Vehicle Routing Optimization Methods
  • Advanced Computational Techniques in Science and Engineering
  • Machine Learning and Algorithms
  • Markov Chains and Monte Carlo Methods
  • Nonlinear Partial Differential Equations
  • Iterative Methods for Nonlinear Equations
  • Educational Reforms and Innovations

Institute of Mathematics
2014-2025

Vietnam Academy of Science and Technology
2014-2025

Thang Long University
2017-2025

Czech Academy of Sciences, Institute of Mathematics
1995-2015

Institute of Mathematics and Informatics
1995-2015

Vietnam National University, Hanoi
2011

University of Mannheim
1989-1993

10.1016/j.cam.2020.112844 article EN publisher-specific-oa Journal of Computational and Applied Mathematics 2020-03-10

10.1023/a:1023047900333 article EN Journal of Global Optimization 2003-01-01

We propose a projection algorithm for solving an equilibrium problem (EP) where the bifunction is pseudomonotone with respect to its solution set. The further combined cutting technique minimizing norm over set of EP whose

10.1080/02331934.2013.773329 article EN Optimization 2013-05-31

We study properties of an inexact proximal point method for pseudomonotone equilibrium problems in real Hilbert spaces. Unlike monotone problems, the regularized subproblems may not be strongly monotone, even pseudomonotone. However, we show that every trajectory weakly converges to same limit. use these extend a viscosity-proximal algorithm developed [28 A. Tada and W. Takahashi ( 2007 ). Weak strong convergence theorem nonexpansive mapping problem . J. Optim. Theory Appl. 133 : 359 – 370...

10.1080/01630563.2013.813857 article EN Numerical Functional Analysis and Optimization 2013-09-10

10.1007/s10957-020-01661-6 article EN Journal of Optimization Theory and Applications 2020-04-10

We propose splitting, parallel algorithms for solving strongly equilibrium problems over the intersection of a finite number closed convex sets given as fixed-point nonexpansive mappings in real Hilbert spaces. The algorithm is combination between gradient method and Mann-Krasnosel'skii iterative scheme, where projection can be computed onto each set separately rather than their intersection. Strong convergence proved. Some special cases involving bilevel with inverse monotone variational...

10.1080/02331934.2016.1195831 article EN Optimization 2016-06-16

For a given multivalued mapping F : X → Y and function g X× R this paper considers continuity properties of the (multivalued) S(v) ={[xbar] ∈ -1(v)|g ([xbar],x) 0 for all x -1 (v)}.

10.1080/02331938408842947 article EN Mathematische Operationsforschung und Statistik Series Optimization 1984-01-01

10.1007/s10589-010-9360-4 article EN Computational Optimization and Applications 2010-10-14

We consider bilevel pseudomonotone equilibrium problems. use a penalty function to convert problem into one‐level ones. generalize pseudo‐∇‐monotonicity concept from ∇‐monotonicity and prove that under property any stationary point of regularized gap is solution the penalized problem. As an application, we discuss special case arises Tikhonov regularization method for

10.1155/2011/646452 article EN cc-by Journal of Applied Mathematics 2011-01-01
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