Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 471532, 7 pages
Research Article

Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces

Zhaohui Gu1 and Yongjin Li2

1Department of Foundation, Guangdong Finance and Economics College, Guangzhou 510420, China
2Institute of Logic and Cognition, Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Received 17 October 2007; Accepted 2 January 2008

Academic Editor: Tomonari Suzuki

Copyright © 2008 Zhaohui Gu and Yongjin Li. 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 X be a uniformly convex Banach space, and let S, T be a pair of mean nonexpansive mappings. In this paper, it is proved that the sequence of Ishikawa iterations associated with S and T converges to the common fixed point of S and T.