International Journal of Mathematics and Mathematical Sciences 
Volume 2008 (2008), Article ID 163580, 9 pages
doi:10.1155/2008/163580
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

Recommended by Robert H. Redfield

Abstract

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.