Sehie Park
Abstract
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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.
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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.
Key concepts: Mathematics, Minimax theorem, Danskin's theorem, Minimax, Brouwer fixed-point theorem, Kakutani fixed-point theorem, Fixed-point theorem, Simple (philosophy)