Fixed Point Theory and Applications 
Volume 2004 (2004), Issue 2, Pages 149-158
doi:10.1155/S1687182004308089

New versions of the Fan-Browder fixed point theorem and existence of economic equilibria

Sehie Park1,2

 1National Academy of Sciences, Republic of Korea, Seoul 137–044, Korea
2Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea
Received 18 August 2003

Abstract

We introduce a generalized form of the Fan-Browder fixed point theorem and apply to game-theoretic and economic equilibrium existence problem under the more generous restrictions. Consequently, we state some of recent results of Urai (2000) in more general and efficient forms.