Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities
type: Item
instance of: scholarly article
title: Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities
zbMATH Open document ID: 0966.91049
DOI: 10.1023/A:1004657817758
published in: Journal of Optimization Theory and Applications
publication date: 2000-10-30T00:00:00Z
review text: This paper considers the existence of equilibrium points or 4 classes of problems: minimization, saddle point, variational inequalities, and complementarity. It gives a very general sufficient condition, based on the Fan Lemma, for the existence of an equilibrium point. The paper then shows how this existence result can be applied to the 4 classes of problems. These results greatly generalize those of Schaible (1998).
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47N10
zbMATH DE Number: 1523630
zbMATH Keywords: equilibrium
zbMATH Keywords: monotonicity
zbMATH Keywords: variational inequalities
zbMATH Keywords: existence of equilibrium points
zbMATH Keywords: minimization
zbMATH Keywords: saddle point
zbMATH Keywords: complementarity
author: O. Chadli
author: Z. Chbani
author: H. Riahi
MaRDI profile type: Publication
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full work available at URL: a:1004657817758
OpenAlex ID: W196143036
description: scientific article; zbMATH DE number 1523630