Results 71 to 80 of about 2,267 (120)

A new inertial condition on the subgradient extragradient method for solving pseudomonotone equilibrium problem

open access: yes, 2023
In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space. Our
Izuchukwu, Chinedu   +2 more
core  

Convergence of Adaptive Algorithms for Equilibrium Problems in Hadamard Spaces

open access: yesJournal of Optimization, Differential Equations and Their Applications
In this paper, we consider the equilibrium problems under the setting of Hadamard spaces. For an approximate solution of equilibrium problems, iterative adaptive two-stage proximal algorithms are proposed and studied.
Serhii V. Denysov   +2 more
doaj   +1 more source

Method for Approximating Solutions to Equilibrium Problems and Fixed-Point Problems without Some Condition Using Extragradient Algorithm

open access: yesAxioms
The objective of this research is to present a novel approach to enhance the extragradient algorithm’s efficiency for finding an element within a set of fixed points of nonexpansive mapping and the set of solutions for equilibrium problems. Specifically,
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

Hybrid Proximal Methods for Equilibrium Problems [PDF]

open access: yes, 2009
This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality ...
Mordukhovich, Boris S   +3 more
core   +1 more source

FINITE CONVERGENCE OF THE PROXIMAL POINT METHOD FOR SOLVING EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

open access: yesTạp chí Khoa học
In this paper, we prove the finite convergence of sequences generated by (inexact and exact) proximal point methods for solving pseudomonotone equilibrium problems on Hadamard manifolds under the linear conditioning of the solution set.
Nguyen Thi Thu
doaj   +1 more source

On Projected Solutions for Quasi Equilibrium Problems with Non-self Constraint Map

open access: yes, 2023
In a normed space setting, this paper studies the conditions under which the projected solutions to a quasi equilibrium problem with non-self constraint map exist.
Bianchi, Monica   +2 more
core  

Modified subgradient extragradient algorithm for pseudomonotone equilibrium problems and fixed point problems

open access: yes, 2020
In this paper, a new algorithm is considered to find a common element of the solution set of a pseudomonotone equilibrium problem and the fixed point set for a quasi-nonexpansive mapping in a real Hilbert space.
Lulu Yin, Hongwei Liu
semanticscholar   +1 more source

Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps

open access: yesCubo, 2010
In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma.
A.P Farajzadeh   +3 more
doaj  

A golden ratio technique for equilibrium problem in reflexive Banach spaces

open access: yesDemonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A.   +3 more
doaj   +1 more source

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