Bull. Korean Math. Soc. 2010; 47(5): 1037-1040
Printed September 1, 2010
https://doi.org/10.4134/BKMS.2010.47.5.1037
Copyright © The Korean Mathematical Society.
Sehie Park
Seoul National University
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
2013; 50(5): 1639-1650
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