Pareto optimization in topological vector spaces
type: Item
instance of: scholarly article
title: Pareto optimization in topological vector spaces
zbMATH Open document ID: 1106.90076
author: Jiang Zhu
author: G. Isac
author: Dun Zhao
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-01-26T00:00:00Z
review text: The principal aim of this paper is to show that in a general linear topological space, partially ordered by a (not necessarily pointed) pseudo-nuclear correct convex cone, every nonempty set satisfying certain mild assumptions possesses efficient points and, moreover, the domination property holds (i.e., every point in the set is dominated by some efficient point). Several related existence results are presented and a characterization of pseudo-nuclear cones is given in terms of normality.
reviewed by: Nicolae Popovici
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 46A40
Mathematics Subject Classification ID: 46N10
zbMATH DE Number: 2131156
zbMATH Keywords: efficient points
zbMATH Keywords: pseudo-nuclear cones
zbMATH Keywords: normal cones
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.07.003
OpenAlex ID: W2061087907
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DOI: 10.1016/J.JMAA.2004.07.003
description: scientific article; zbMATH DE number 2131156