Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 281890, 6 pages
doi:10.1155/2010/281890
Research Article

Convergence Theorems for the Unique Common Fixed Point of a Pair of Asymptotically Nonexpansive Mappings in Generalized Convex Metric Space

Chao Wang,1 Jin Li,2 and Daoli Zhu2

1Department of Applied Mathematics, Tongji University, Shanghai 200092, China
2Department of Management Science, School of Management, Fudan University, Shanghai 200433, China

Received 21 September 2009; Accepted 13 December 2009

Academic Editor: Tomonari Suzuki

Copyright © 2010 Chao Wang 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

Let X be a generalized convex metric space, and let S, T be a pair of asymptotically nonexpansive mappings. In this paper, we will consider an Ishikawa type iteration process with errors to approximate the unique common fixed point of S and T.