Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 281362, 7 pages
doi:10.1155/2010/281362
Research Article

Ergodic Retractions for Families of Asymptotically Nonexpansive Mappings

Shahram Saeidi1,2

1Department of Mathematics, University of Kurdistan, Sanandaj, P.O. Box 416, Kurdistan, Iran
2School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

Received 2 October 2009; Revised 10 January 2010; Accepted 14 March 2010

Academic Editor: Mohamed Amine Khamsi

Copyright © 2010 Shahram Saeidi. 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.

Abstract

We prove some theorems for the existence of ergodic retractions onto the set of common fixed points of a family of asymptotically nonexpansive mappings. Our results extend corresponding results of Benavides and Ramírez (2001), and Li and Sims (2002).