Characterization of the nonemptiness and compactness of solution sets in convex and nonconvex vector optimization
type: Item
instance of: scholarly article
title: Characterization of the nonemptiness and compactness of solution sets in convex and nonconvex vector optimization
zbMATH Open document ID: 1145.90062
published in: Journal of Optimization Theory and Applications
publication date: 2007-03-06T00:00:00Z
review text: From the abstract: By using the notion of semistrict quasiconvexity for vector functions and assuming additional structure on the space, new existence results are derived. When the cone defining the preference relation satisfies some mild assumptions, various characterizations for the nonemptiness and compactness of the weakly efficient solution set to convex vector optimization problems are given. Similar results for a class of nonconvex problems on the real line are established as well.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 5131145
zbMATH Keywords: nonconvex vector optimization
zbMATH Keywords: quasiconvex vector functions
zbMATH Keywords: weakly efficient solutions
zbMATH Keywords: efficient solutions
zbMATH Keywords: asymptotic functions
zbMATH Keywords: asymptotic cones
author: Fabián Flores-Bazan
author: Cristián Vera
reviewed by: Constantin Zălinescu
MaRDI profile type: Publication
full work available at URL: s10957-006-9098-4
OpenAlex ID: W2003584206
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DOI: 10.1007/S10957-006-9098-4
description: scientific article; zbMATH DE number 5131145