\(D\)-gap functions and descent methods for a class of monotone equilibrium problems
type: Item
instance of: scholarly article
title: \(D\)-gap functions and descent methods for a class of monotone equilibrium problems
zbMATH Open document ID: 1041.65054
author: Igor V. Konnov
author: Olga V. Pinyagina
published in: Lobachevskii Journal of Mathematics
publication date: 2004-02-10T00:00:00Z
full work available at URL: https://eudml.org/doc/222901
full work available at URL: kon.htm
review text: This paper considers equilibrium problems formulated as : find \(u\in U\) such that \[ \psi(u,v)\geq 0, \forall v\in U; \] where \(U\) is a closed convex subset of a Banach space \(E\) and \(\psi\) is real-valued function defined on \(U\times U.\) The authors suggest first a suitable regularization problem which they combine with the so called D-gap function and then establish the solutions of the above problem by means of a descent algorithm.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M30
zbMATH DE Number: 2039384
zbMATH Keywords: monotone equilibrium problems
zbMATH Keywords: D-gap function
zbMATH Keywords: regularization
zbMATH Keywords: descent algorithm
zbMATH Keywords: Banach space
reviewed by: Mohamed Ait Mansour
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2039384