Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 175989, 6 pages
doi:10.1155/2011/175989
Research Article

Relation between Fixed Point and Asymptotical Center of Nonexpansive Maps

Mohammad Reza Haddadi, Hamid Mazaheri, and Mohammad Hussein Labbaf Ghasemi

Department of Mathematics, Faculty of Mathematics, Yazd University, P. O. Box 89195-741, Yazd, Iran

Received 19 October 2010; Accepted 22 November 2010

Academic Editor: Qamrul Hasan Ansari

Copyright © 2011 Mohammad Reza Haddadi et al. 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 introduce the concept of asymptotic center of maps and consider relation between asymptotic center and fixed point of nonexpansive maps in a Banach space.