A characterization of proper minimal points as solutions of sublinear optimization problems
type: Item
instance of: scholarly article
title: A characterization of proper minimal points as solutions of sublinear optimization problems
zbMATH Open document ID: 0802.49003
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-01-13T00:00:00Z
review text: The concept of ``proper solutions'' for optimization problems in some different formulations is considered and a comparison between them is done. In the first sections of the article one proves some basic results regarding cone separation and sublinear functionals induced by cones. Further, one provides necessary and sufficient conditions for a proper minimal point of being a solution for a scalar optimization problem and necessary conditions for proper minimality in locally convex spaces respectively normed spaces.
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 49J35
zbMATH DE Number: 484013
zbMATH Keywords: cone separation
zbMATH Keywords: sublinear functionals
zbMATH Keywords: proper minimality
author: J. P. Dauer
author: O. A. Saleh
reviewed by: Claudia Simionescu-Badea
MaRDI profile type: Publication
full work available at URL: jmaa.1993.1303
OpenAlex ID: W2081243124
DOI: 10.1006/JMAA.1993.1303
description: scientific article; zbMATH DE number 484013