Necessary and sufficient conditions for set-valued maps with set optimization
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for set-valued maps with set optimization
zbMATH Open document ID: 1470.90123
DOI: 10.1155/2018/5962049
author: Abdessamad Oussarhan
author: Ikram Daidai
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of \(S\)-derivative and contingent derivative. Sufficient conditions for the existence of solutions are shown for set-valued maps under generalized quasiconvexity assumptions.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 6929591
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5962049
OpenAlex ID: W2781970532
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description: scientific article; zbMATH DE number 6929591