- 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
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
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...
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...
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)}.
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