Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 73246, 9 pages
Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces
Department of Mathematics, Arts and Science Faculty, Harran University, Sanliurfa 63200, Turkey
Received 26 December 2006; Accepted 4 April 2007
Academic Editor: Nan-Jing Huang
Copyright © 2007 Seyit Temir and Ozlem Gul. 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 nonempty subset (not necessarily closed and convex) of a Hilbert space and let be a semigroup on and let be an almost orbit of . In this paper, we prove that every
almost orbit of is almost weakly and strongly convergent to its asymptotic center.