Some topological properties in optimization theory
type: Item
instance of: scholarly article
title: Some topological properties in optimization theory
zbMATH Open document ID: 0631.90078
DOI: 10.1007/BF00938803
published in: Journal of Optimization Theory and Applications
publication date: 1989-01-01T00:00:00Z
review text: We study some topological properties of the vector sum of two sets, and we introduce the concept of strong cone compactness, a slightly strengthened version of the notion of cone compactness, which is used frequently in vector optimization. Furthermore, we establish a generalization of the well-known fact that the continuous image of a compact set is compact.
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 54C60
zbMATH DE Number: 4027203
zbMATH Keywords: topological properties
zbMATH Keywords: vector sum of two sets
zbMATH Keywords: strong cone compactness
zbMATH Keywords: vector optimization
author: Fabio Tardella
MaRDI profile type: Publication
cites work: On the image of a constrained extremum problem and some applications to the existence of a minimum
cites work: Q5580054
cites work: Q5723419
cites work: Connectedness of the set of nondominated outcomes in multicriteria optimization
cites work: Some properties of cones in normed spaces and their application to investigating extremal problems
cites work: A remark on a regularity assumption for the mathematical programming problem in Banach spaces
cites work: An existence result for maximizations with respect to cones
cites work: On Cone-Efficiency, Cone-Convexity and Cone-Compactness
cites work: Mathematical methods of game and economic theory
full work available at URL: https://doi.org/10.1007/bf00938803
OpenAlex ID: W1995227619
description: scientific article; zbMATH DE number 4027203