A simple proof of the Sion minimax theorem
Bull. Korean Math. Soc. 2010 Vol. 47, No. 5, 1037-1040
Published online September 1, 2010
Sehie Park
Seoul National University
Abstract : For convex subsets $X$ of a topological vector space $E$, we show that a KKM principle implies a Fan-Browder type fixed point theorem and that this theorem implies generalized forms of the Sion minimax theorem.
Keywords : minimax theorem, KKM principle, Fan-Browder fixed point theorem
MSC numbers : 49B40, 49J35, 90C06, 90C30
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