Topologically finite intersection property and minimax theorems
type: Item
instance of: scholarly article
title: Topologically finite intersection property and minimax theorems
zbMATH Open document ID: 0856.49004
DOI: 10.1007/BF02456945
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1997-02-04T00:00:00Z
review text: Let \(F\) be a multivalued map from a set \(X\) to a topological space \(Y\). The authors investigate conditions under which the family \(\{F(x) : x \in X\}\) of sets has the finite intersection property. As an application, they study the minimax problem in topological spaces whithout linear structures. Results of this paper extend and unify some of the results of the first author, \textit{X. Wu} and \textit{S. Xiang} [J. Math. Anal. Appl. 182, No. 3, 756-767 (1994; Zbl 0830.54037)] and others.
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 49K35
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 54D05
zbMATH DE Number: 762819
zbMATH Keywords: minimax theorem
zbMATH Keywords: connected set
zbMATH Keywords: finite intersection property
author: Shihsen Chang
author: Zhang Xian
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02456945
OpenAlex ID: W2085134124
description: scientific article; zbMATH DE number 762819