Fixed Point Theory and Applications
Volume 2006 (2006), Issue 3, Pages 96737, 4 p.
doi:10.1155/FPTA/2006/96737

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

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.