Fixed Point Theory and Applications
Volume 2006 (2006), Issue 1, Pages Article 53286, 9 p.
doi:10.1155/FPTA/2006/53286

Note on KKM maps and applications

Y.Q. Chen1 , Y.J. Cho2 , J.K. Kim3 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

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.