Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 96737, 4 pages
doi:10.1155/FPTA/2006/96737

On the orbits of G-closure points of ultimately nonexpansive mappings

Mo Tak Kiang

 Department of Mathematics and Computing Science, Saint Mary's University, Halifax B3H 3C3, Nova Scotia, Canada
Received 24 March 2006; Accepted 12 April 2006

Abstract

Let X be a closed subset of a Banach space and G an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the G-closure of X is nonempty, then the closure of the orbit of any G-closure point is a commutative topological group.