Fixed Point Theory and Applications 
Volume 2008 (2008), Article ID 471532, 7 pages
doi:10.1155/2008/471532
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

Recommended by Tomonari Suzuki

Abstract

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.