A noncompact topological minimax theorem
type: Item
instance of: scholarly article
title: A noncompact topological minimax theorem
zbMATH Open document ID: 0779.49009
DOI: 10.1016/0022-247X(91)90353-2
author: Xiu-Chi Quan
author: Bor-Luh Lin
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: Using the minimax inequality of \textit{Ky Fan} [Inequalities III, Proc. 3rd Symp., Los Angeles 1969, 103-113 (1972; Zbl 0302.49019)], \textit{Ha Chung- Wei} [Pac. J. Math. 97, 115-117 (1981; Zbl 0474.49015)] obtained a noncompact version of Sion's minimax theorem [\textit{M. Sion}, ibid. 8, 171-176 (1958; Zbl 0081.115)] in topological vector spaces. In this note, we extend Ha's theorem to a topological minimax theorem without requiring any linear structure on the underlying spaces.
Mathematics Subject Classification ID: 49J35
Mathematics Subject Classification ID: 54C30
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 57733
zbMATH Keywords: Sion's minimax theorem
zbMATH Keywords: topological vector spaces
zbMATH Keywords: topological minimax theorem
MaRDI profile type: Publication
cites work: Q4057217
cites work: Topological Minimax Theorems
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cites work: A non-compact minimax theorem
cites work: Elementary proof for Sion's minimax theorem
cites work: Q3976090
cites work: On general minimax theorems
cites work: Q4074698
cites work: Q5724368
description: scientific article; zbMATH DE number 57733