Results 1 to 10 of about 115 (92)

Approximation Results for Equilibrium Problems Involving Strongly Pseudomonotone Bifunction in Real Hilbert Spaces [PDF]

Axioms, 2020
A plethora of applications in non-linear analysis, including minimax problems, mathematical programming, the fixed-point problems, saddle-point problems, penalization and complementary problems, may be framed as a problem of equilibrium.
Wiyada Kumam, Kanikar Muangchoo, Kumam Wiyada   +2 more
exaly   +5 more sources

Subgradient Extra-Gradient Algorithm for Pseudomonotone Equilibrium Problems and Fixed-Point Problems of Bregman Relatively Nonexpansive Mappings

Mathematics, 2023
In this article, we introduce a new subgradient extra-gradient algorithm to find the common element of a set of fixed points of a Bregman relatively nonexpansive mapping and the solution set of an equilibrium problem involving a Pseudomonotone and ...
Michael Th Rassias, Rassias Michael Th
exaly   +4 more sources

An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications

Axioms, 2020
Several methods have been put forward to solve equilibrium problems, in which the two-step extragradient method is very useful and significant. In this article, we propose a new extragradient-like method to evaluate the numerical solution of the ...
Nopparat Wairojjana, Habib Ur Rehman, Ioannis K Argyros   +2 more
exaly   +4 more sources

A Weak Convergence Self-Adaptive Method for Solving Pseudomonotone Equilibrium Problems in a Real Hilbert Space

Mathematics, 2020
In this paper, we presented a modification of the extragradient method to solve pseudomonotone equilibrium problems involving the Lipschitz-type condition in a real Hilbert space.
Pasakorn Yordsorn, Poom Kumam, Habib Ur Rehman   +2 more
exaly   +4 more sources

Approximation Results for Variational Inequalities Involving Pseudomonotone Bifunction in Real Hilbert Spaces [PDF]

Symmetry, 2021
In this paper, we introduce two novel extragradient-like methods to solve variational inequalities in a real Hilbert space. The variational inequality problem is a general mathematical problem in the sense that it unifies several mathematical models, such as optimization problems, Nash equilibrium models, fixed point problems, and saddle point problems.
Kanikar Muangchoo, Nasser Aedh Alreshidi, Ioannis K. Argyros   +2 more
openaire   +2 more sources

Inertial Modification Using Self-Adaptive Subgradient Extragradient Techniques for Equilibrium Programming Applied to Variational Inequalities and Fixed-Point Problems

Mathematics, 2022
Equilibrium problems are articulated in a variety of mathematical computing applications, including minimax and numerical programming, saddle-point problems, fixed-point problems, and variational inequalities.
Habib ur Rehman, Wiyada Kumam, Kamonrat Sombut   +2 more
doaj   +2 more sources

Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems

Journal of Function Spaces, 2022
In this paper, we present improved iterative methods for evaluating the numerical solution of an equilibrium problem in a Hilbert space with a pseudomonotone and a Lipschitz-type bifunction.
Chainarong Khunpanuk, Nuttapol Pakkaranang, Bancha Panyanak   +2 more
doaj   +2 more sources

Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization [PDF]

Journal of Global Optimization, 2021
AbstractIn this paper we investigate quasi equilibrium problems in a real Banach space under the assumption of Brezis pseudomonotonicity of the function involved. To establish existence results under weak coercivity conditions we replace the quasi equilibrium problem with a sequence of penalized usual equilibrium problems.
Bianchi M., Kassay G., Pini R.
openaire   +1 more source

Correction to: Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization

Journal of Global Optimization, 2022
A Correction to this paper has been published: 10.1007/s10898-021-01088 ...
Monica Bianchi, Gábor Kassay, Rita Pini
openaire   +1 more source

Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications

Journal of Inequalities and Applications, 2021
In this paper, we introduce a new algorithm by incorporating an inertial term with a subgradient extragradient algorithm to solve the equilibrium problems involving a pseudomonotone and Lipschitz-type continuous bifunction in real Hilbert spaces.
Habib ur Rehman, Poom Kumam, Aviv Gibali, Wiyada Kumam   +3 more
doaj   +1 more source