Open Access

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

Fixed Point Theory and Applications20092010:218573

DOI: 10.1155/2010/218573

Received: 31 August 2009

Accepted: 16 November 2009

Published: 17 November 2009

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.

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Authors’ Affiliations

(1)
School of Mathematics, Physics and Information Science, Zhejiang Ocean University
(2)
Department of Mathematics, Gyeongsang National University
(3)
Department of Mathematics, Hangzhou Normal University

Copyright

© Yan Hao et al. 2010

This article is published under license to BioMed Central Ltd. 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.