Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 428241, 11 pages
Research Article

Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings

Chao Wang and Jinghao Zhu

Department of Applied Mathematics, Tongji University, Shanghai 200092, China

Received 1 April 2008; Revised 12 June 2008; Accepted 19 July 2008

Academic Editor: Simeon Reich

Copyright © 2008 Chao Wang and Jinghao Zhu. 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.


We introduce a new three-step iterative scheme with errors. Several convergence theorems of this scheme are established for common fixed points of nonself asymptotically quasi-non-expansive mappings in real uniformly convex Banach spaces. Our theorems improve and generalize recent known results in the literature.