Weakly \(G\)-KKM mappings, \(G\)-KKM property, and minimax inequalities
type: Item
instance of: scholarly article
title: Weakly \(G\)-KKM mappings, \(G\)-KKM property, and minimax inequalities
zbMATH Open document ID: 1053.54028
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-10T00:00:00Z
review text: The author extends the concept of generalized \(G\)-KKM mappings, given by Lin, Ko and Park in the setting of \(G\)-convex spaces, introducing the new concept of a weakly \(G\)-KMM mapping. Exploiting this new definition, the author states two intersection results, and, as a consequence, a minimax theorem, with some variants of it. In the last section, conditions for a map to have the \(G\)-KKM property are given, and a Sion type minimax inequality is proved.
reviewed by: Rita Pini
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 49J35
zbMATH DE Number: 2085924
zbMATH Keywords: KKM mapping
zbMATH Keywords: KKM property
zbMATH Keywords: \(G\)-convex space
zbMATH Keywords: weakly \(G\)-KKM mapping
zbMATH Keywords: minimax inequalities
author: Mircea Balaj
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.02.013
OpenAlex ID: W2029227930
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DOI: 10.1016/J.JMAA.2004.02.013
description: scientific article; zbMATH DE number 2085924