On systems of variational inequalities
type: Item
instance of: scholarly article
title: On systems of variational inequalities
zbMATH Open document ID: 0949.49004
published in: Russian Mathematics
publication date: 2000-12-11T00:00:00Z
review text: A system of variational inequalities is studied, to find \(\overline u\) in a convex set \(U\), satisfying a system of inequalities \(\langle\overline g_s,u-\overline u\rangle\geq 0\) \((\forall u\in U)\), for \(\overline g_s\in G_s(\overline u)\), for given set-functions \(G_s\). An existence theorem is given, and relations to other variational inequalities are discussed, including lexicographic optimization. An iterative relaxation algorithm is described to solve such systems and a convergence theorem is proved.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 1274198
zbMATH Keywords: variational inequalities
zbMATH Keywords: set-functions
zbMATH Keywords: lexicographic optimization
zbMATH Keywords: iterative relaxation algorithm
zbMATH Keywords: convergence
author: Igor V. Konnov
reviewed by: B. D. Craven
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1274198