Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 96737, 4 pages
On the orbits of -closure points of ultimately nonexpansive mappings
Department of Mathematics and Computing Science, Saint Mary's University, Halifax B3H 3C3, Nova Scotia, Canada
Received 24 March 2006; Accepted 12 April 2006
Copyright © 2006 Mo Tak Kiang. 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.
Let be a closed subset of a Banach space and an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the -closure of is nonempty, then the closure of the orbit of any -closure point is a commutative topological group.