Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 819036, 12 pages
doi:10.1155/2009/819036
Research Article

Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces

Feng Gu1 and Qiuping Fu2

1Department of Mathematics, Institute of Applied Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
2Mathematics group, West Lake High Middle School, Hangzhou, Zhejiang 310012, China

Received 19 November 2008; Revised 11 January 2009; Accepted 9 April 2009

Academic Editor: Yeol Je Cho

Copyright © 2009 Feng Gu and Qiuping Fu. 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

We establish strong convergence theorem for multi-step iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces. Our results extend and improve the recent ones announced by Plubtieng and Wangkeeree (2006), and many others.