On existence and uniqueness of stationary points in semi-infinite optimization
type: Item
instance of: scholarly article
title: On existence and uniqueness of stationary points in semi-infinite optimization
zbMATH Open document ID: 0945.90070
published in: Mathematical Programming. Series A. Series B
publication date: 2000-10-11T00:00:00Z
review text: The semi-infinite optimization problems dealt with in this paper are those whose constraint sets are defined by finitely many equality and infinitely many inequality constraints. The author extends to this setting the concept of strong stability of a stationary point introduced by \textit{M. Kojima} [Analysis and computation of fixed points, Proc. Symp., Univ. Wis. 1979, 93-138 (1980; Zbl 0478.90062)] for problems with finitely many constraints, and presents several equivalent conditions.
Mathematics Subject Classification ID: 90C34
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 1394874
zbMATH Keywords: extended Mangasarian-Fromovitz constraint qualification
zbMATH Keywords: semi-infinite optimization
zbMATH Keywords: strong stability
zbMATH Keywords: stationary point
author: Jan-Joachim Rückmann
reviewed by: Juan-Enrique Martínez-Legaz
MaRDI profile type: Publication
full work available at URL: s101070050095
OpenAlex ID: W2000119973
DOI: 10.1007/S101070050095
description: scientific article; zbMATH DE number 1394874