Optimality conditions for weak and firm efficiency in set-valued optimization
type: Item
instance of: scholarly article
title: Optimality conditions for weak and firm efficiency in set-valued optimization
zbMATH Open document ID: 1170.49015
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-06-17T00:00:00Z
review text: This paper concerns the study of weak and firm efficiency in constrained mathematical problems governed by set-valued mappings. It is derived necessary (respectively sufficient) first and second-order optimality conditions for weak (respectively firm) efficiency by means of the Bouligand derivative, and in case of firm efficiency, the Mordukhovich coderivative is employed to get necessary optimality conditions.
reviewed by: Fabián Flores-Bazan
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 49K99
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 5289206
zbMATH Keywords: set-valued optimization
zbMATH Keywords: weak efficiency
zbMATH Keywords: firm efficiency
zbMATH Keywords: Bouligand derivative
zbMATH Keywords: Mordukhovich coderivative
author: Marius Durea
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.03.053
OpenAlex ID: W2070149319
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DOI: 10.1016/J.JMAA.2008.03.053
description: scientific article; zbMATH DE number 5289206