Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property
type: Item
instance of: scholarly article
title: Constraint qualifications for mathematical programs with equilibrium constraints and their local preservation property
zbMATH Open document ID: 1315.90054
author: Nguyen Huy Chieu
author: Gue Myung Lee
published in: Journal of Optimization Theory and Applications
publication date: 2014-12-12T00:00:00Z
review text: This paper gives a synopsis (rich in content and with a lot of hints to other existing papers of this domain) about known and new dependencies between constraint qualifications for programs with equilibrium constraints (vanishing product of nonnegative continuously differentiable functions), supplementing results of former papers of the authors in [J. Optim. Theory Appl. 158, No. 1, 11--32 (2013; Zbl 1272.90085)] and of \textit{L. Guo} and \textit{G.-H. Lin} [J. Optim. Theory Appl. 156, No. 3, 600--616 (2013; Zbl 1280.90115)] and of \textit{L. Guo} et al. [J. Optim. Theory Appl. 158, No. 1, 33--64 (2013; Zbl 1272.90089)]. Also, new variants of constraint qualifications and new techniques of proof (induction) are introduced. As the main point of the paper the authors show that most of the considered constraint qualifications have the local preservation property \((Q)\), that means, \((Q)\) holds also for an open set of admissible points around a point \(x\), whenever \((Q)\) is valid at \(x\). Results of isolatedness of local minimizers are added.
reviewed by: Alfred Göpfert
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 6379729
zbMATH Keywords: mathematical programs with equilibrium constraints
zbMATH Keywords: constraint qualifications
zbMATH Keywords: induction
zbMATH Keywords: preservation
zbMATH Keywords: isolatedness of local minimizers
describes a project that uses: MacMPEC
MaRDI profile type: Publication
full work available at URL: s10957-014-0546-2
OpenAlex ID: W2164997203
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DOI: 10.1007/S10957-014-0546-2
description: scientific article; zbMATH DE number 6379729