International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 163580, 9 pages
Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
2Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Received 6 June 2007; Revised 11 October 2007; Accepted 12 December 2007
Academic Editor: Robert H. Redfield
Copyright © 2008 A. Kaewcharoen and B. Panyanak. 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.
The purpose of this paper is to ensure the existence of fixed points for multivalued nonexpansive weakly inward nonself-mappings in uniformly convex metric spaces. This extends a result of Lim (1980) in Banach spaces. All results of Dhompongsa et al. (2005) and Chaoha and Phon-on (2006) are also extended.