International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 11, Pages 773-779
doi:10.1155/S0161171200004427

Common stationary points of multivalued mappings on bounded metric spaces

Zeqing Liu1 and Shin Min Kang2

1Department of Mathematics, Liaoning Normal University, Liaoning, Dalian 116029, China
2Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea

Received 31 August 1999; Revised 17 March 2000

Copyright © 2000 Zeqing Liu and Shin Min Kang. 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

Necessary and sufficient conditions for the existence of common stationary points of two multivalued mappings and common stationary point theorems for multivalued mappings on bounded metric spaces are given. Our results extend the theorems due to Fisher in 1979, 1980, and 1983 and Ohta and Nikaido in 1994.