Open Access

Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences

Fixed Point Theory and Applications20062006:70830

https://doi.org/10.1155/FPTA/2006/70830

Received: 26 December 2005

Accepted: 11 March 2006

Published: 15 June 2006

Abstract

The purpose of this paper is to study sufficient and necessary conditions for finite-step iterative sequences with mean errors for a finite family of asymptotically quasi-nonexpansive and type mappings in Banach spaces to converge to a common fixed point. The results presented in this paper improve and extend the recent ones announced by Ghost-Debnath, Liu, Xu and Noor, Chang, Shahzad et al., Shahzad and Udomene, Chidume et al., and all the others.

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Authors’ Affiliations

(1)
Department of Mathematics, Chongqing Normal University
(2)
Department of Mathematics, Yibin University

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Copyright

© Jing Quan et al. 2006

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.