Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 218573, 11 pages
doi:10.1155/2010/218573
Research Article

Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings

Yan Hao,1 Sun Young Cho,2 and Xiaolong Qin3

1School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, China
2Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea
3Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China

Received 31 August 2009; Accepted 16 November 2009

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Yan Hao 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

A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.