International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 315-319
doi:10.1155/S016117129800043X

New existence of equilibria via connectedness

Sung Mo Im,1 Dong Il Rim,1 and Won Kyu Kim2

1Department of Mathematics, Chungbuk National University, Cheongju 361-763, Korea
2Department of Mathematics Education, Chungbuk National University, Cheongju 361-763, Korea

Received 23 April 1996; Revised 4 September 1996

Copyright © 1998 Sung Mo Im et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to prove a new topological fixed point theorem by using the connectedness property, and next existence of equilibria in generalized games are established as applications.