Stability for properly quasiconvex vector optimization problem
type: Item
instance of: scholarly article
title: Stability for properly quasiconvex vector optimization problem
zbMATH Open document ID: 1277.90122
author: C. S. Lalitha
author: Prashanto Chatterjee
published in: Journal of Optimization Theory and Applications
publication date: 2013-02-14T00:00:00Z
review text: From the abstract: ``The aim of this paper is to study the stability aspects of various types of solution sets of a vector optimization problem both in the given space and in its image space by perturbing the objective function and the feasible set. The Kuratowski-Painlevé set-convergence of the sets of minimal, weak minimal and Henig proper minimal points of the perturbed problems to the corresponding minimal set of the original problem is established assuming the objective functions to be (strictly) properly quasi cone-convex.'' The paper is based on 4 lemmas and 8 theorems, it consists of 6 sections, the list of references includes 27 works.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 6136269
zbMATH Keywords: Kuratowski-Painlevé convergence
zbMATH Keywords: proper quasi cone-convexity
zbMATH Keywords: efficiency
zbMATH Keywords: weak efficiency
zbMATH Keywords: proper efficiency
zbMATH Keywords: vector optimization problem
zbMATH Keywords: stability
reviewed by: Vitali Oscarovich Groppen
MaRDI profile type: Publication
full work available at URL: s10957-012-0079-5
OpenAlex ID: W2055393452
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cites work: Variational Analysis
DOI: 10.1007/S10957-012-0079-5
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description: scientific article; zbMATH DE number 6136269