Fixed Point Theory and Applications
Volume 2006 (2006), Issue 3, Pages 82080, 13 p.
doi:10.1155/FPTA/2006/82080
Nonexpansive mappings defined on unbounded domains
A. Kaewcharoen1
and W.A. Kirk2
1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
2Department of Mathematics, The University of Iowa, Iowa City 52242-1419, IA, USA
Abstract
We obtain fixed point theorems for nonexpansive mappings defined on unbounded sets. Our assumptions are weaker than the asymptotically contractive condition recently introduced by Jean-Paul Penot.