On the generalized Fritz John optimality conditions of vector optimization with set-valued maps under Benson proper efficiency
type: Item
instance of: scholarly article
title: On the generalized Fritz John optimality conditions of vector optimization with set-valued maps under Benson proper efficiency
zbMATH Open document ID: 1141.90532
DOI: 10.1007/BF02438384
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2003-08-13T00:00:00Z
review text: Based on the introduction of contingent derivatives, defined by the epigraph of a set-valued map and the contingent tangent cone, generalized Fritz John optimality conditions are derived for Benson proper efficiency for vector set-valued optimization problems with set-valued constraints, using a standard separation theorem. Using similar notions for strong and weak contingent pseudoconvexity of the set-valued objective and constraint functions, respectively, corresponding necessary conditions are proven.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 1963380
zbMATH Keywords: contingent tangent cone
zbMATH Keywords: set-valued map
zbMATH Keywords: Benson proper efficiency
zbMATH Keywords: Fritz John condition
author: Bao-Huai Sheng
author: Sanyang Liu
reviewed by: Kathrin Klamroth
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02438384
OpenAlex ID: W2067079210
description: scientific article; zbMATH DE number 1963380