Results 1 to 10 of about 898 (112)

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
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
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, Nuttapol Pakkaranang, 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.
Abdulkarim Hassan Ibrahim, Poom Kumam, Pasakorn Yordsorn   +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.
Ioannis K Argyros, Nasser Alreshidi, Kanikar Muangchoo   +2 more
exaly   +3 more sources

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.
Wiyada Kumam, Aviv Gibali, Poom Kumam
exaly   +2 more sources

The inertial iterative extragradient methods for solving pseudomonotone equilibrium programming in Hilbert spaces

Journal of Inequalities and Applications, 2022
In this paper, we present new iterative techniques for approximating the solution of an equilibrium problem involving a pseudomonotone and a Lipschitz-type bifunction in Hilbert spaces.
Wiyada Kumam, Poom Kumam, Ioannis K Argyros   +2 more
exaly   +2 more sources

On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

Demonstratio Mathematica, 2022
The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Nuttapol Pakkaranang, Nattawut Pholasa, Chainarong Khunpanuk   +2 more
exaly   +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   +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   +1 more source