Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 53286, 9 pages
doi:10.1155/FPTA/2006/53286

Note on KKM maps and applications

Y. Q. Chen,1 Y. J. Cho,2 J. K. Kim,3 and B. S. Lee4

1Department of Mathematics, Foshan University, Foshan, Guangdong 528000, China
2Department of Mathematics Education and the RINS, College of Education, Gyeongsang National University, Chinju 660-701, Korea
3Department of Mathematics Education, College of Education, Kyungnam University, Masan 631-701, Korea
4Department of Mathematics, Kyungsung University, Pusan 608-735, Korea

Received 6 March 2005; Revised 20 July 2005; Accepted 11 August 2005

Copyright © 2006 Y. Q. Chen 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

We apply the KKM technique to study fixed point theory, minimax inequality and coincidence theorem. Some new results on Fan-Browder fixed point theorem, Fan's minimax theorem and coincidence theorem are obtained.