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.2010.47.5.1037
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
Downloads: Full-text PDF  


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd