On implicit vector variational inequalities
type: Item
instance of: scholarly article
title: On implicit vector variational inequalities
zbMATH Open document ID: 0970.47052
DOI: 10.1023/A:1004617914993
author: S. H. Kum
author: Gue Myung Lee
published in: Journal of Optimization Theory and Applications
publication date: 2001-10-12T00:00:00Z
review text: The authors develop a general scheme for dealing with implicit vector variational inequalities. The existence of solutions is studied for two kinds of implicit variational inequalities for multifunctions. Several pseudomonotonocity concepts are introduced for the variational inequalities studied. The main tool for proving existence theorems on implicit vector variational inequalities under the introduced pseudomonotonocity is a generalization of the Fan-Brouwer fixed point theorem.The existence results extend and unify earliar results of many authors under the Hausdorff topological vector space setting.
reviewed by: Walter Gómez Bofill
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 1506925
zbMATH Keywords: vector variational inequalities
zbMATH Keywords: weak pseudomonotonicity
zbMATH Keywords: Fan-Brouwer fixed point theorem
MaRDI profile type: Publication
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full work available at URL: a:1004617914993
OpenAlex ID: W1587301632
description: scientific article; zbMATH DE number 1506925