International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 163580, 9 pages
Research Article

Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces

A. Kaewcharoen1 and B. Panyanak2

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.