Perturbed solutions of variational inequality problems over polyhedral sets
type: Item
instance of: scholarly article
title: Perturbed solutions of variational inequality problems over polyhedral sets
zbMATH Open document ID: 0621.49004
DOI: 10.1007/BF00938541
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: This paper is concerned with variational inequality problems defined over polyhedral sets, which provide a generalization of many diverse problems of mathematical programming, complementarity, and mathematical economics. Differentiability properties of locally unique perturbed solutions to such problems are studied. It is shown that, if a simple sufficient condition is satisfied, then the perturbed solution is locally unique, continuous, and directionally differentiable. Furthermore, under an additional regularity assumption, the perturbed solution is also continuously differentiable.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 52Bxx
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 26B05
zbMATH DE Number: 4007079
zbMATH Keywords: variational inequality
zbMATH Keywords: polyhedral sets
zbMATH Keywords: complementarity
zbMATH Keywords: perturbed solution
author: Jerzy Kyparisis
MaRDI profile type: Publication
cites work: Nonlinear Programs with Positively Bounded Jacobians
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description: scientific article; zbMATH DE number 4007079