Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 471532, 7 pages
Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces
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 be a uniformly convex Banach space, and let be a pair
of mean nonexpansive mappings. In this paper, it is proved that the sequence
of Ishikawa iterations associated with and converges to the common fixed
point of and .