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 A simple proof of the Sion minimax theorem Bull. Korean Math. Soc. 2010 Vol. 47, No. 5, 1037-1040 https://doi.org/10.4134/BKMS.2010.47.5.1037Published 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 Downloads: Full-text PDF