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