Theorems of the alternative and optimization with set-valued maps
type: Item
instance of: scholarly article
title: Theorems of the alternative and optimization with set-valued maps
zbMATH Open document ID: 0966.90071
DOI: 10.1023/A:1026407517917
published in: Journal of Optimization Theory and Applications
publication date: 2001-02-18T00:00:00Z
review text: The concept of generalized cone subconvexlike set-valued maps is presented and a theorem of alternative for the system of generalized inequality-equality set-valued maps is established. By applying the theorem of the alternative and other results, necessary and sufficient optimality conditions for vector optimization problems with generalized cone subconvexlike set-valued maps are obtained.
reviewed by: Paulo Mbunga
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 1565517
zbMATH Keywords: vector optimization
zbMATH Keywords: set-valued maps
zbMATH Keywords: generalized convexity
zbMATH Keywords: equivalent conditions
zbMATH Keywords: theorem of the alternatives
zbMATH Keywords: optimality conditions
author: Xinmin Yang
author: Xiao Qi Yang
author: Guang-Ya Chen
MaRDI profile type: Publication
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cites work: Q4104377
full work available at URL: a:1026407517917
OpenAlex ID: W167154149
description: scientific article; zbMATH DE number 1565517