Reduction of finite exhausters
type: Item
instance of: scholarly article
title: Reduction of finite exhausters
zbMATH Open document ID: 1206.46063
author: J. Grzybowski
author: D. Pallaschke
author: Ryszard Urbański
published in: Journal of Global Optimization
publication date: 2010-04-28T00:00:00Z
review text: This paper studies the theory of exhausters, introduced by \textit{V.\,F.\thinspace Demyanov} [Optimization 45, No.\, 1--4, 13--29 (1999; Zbl 0954.90050)] for the study of positively homogeneous functions. The authors consider only exhausters with a finite index set for elements in a semigroup. They introduce shadowing sets as a generalization of separating sets. In terms of shadowing sets, they give a criterion for the minimality of finite upper exhausters and an example of two different minimal upper exhausters of the same function.
reviewed by: Eike Hertel
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 52A05
zbMATH DE Number: 5702525
zbMATH Keywords: exhausters
zbMATH Keywords: pairs of convex bodies
MaRDI profile type: Publication
full work available at URL: s10898-009-9444-9
OpenAlex ID: W1991601695
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DOI: 10.1007/S10898-009-9444-9
description: scientific article; zbMATH DE number 5702525