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

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...

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Bibliographic Details
Main Authors: Xian Jun Long, Shih-Sen Chang, Jing Quan
Format: Article
Language:English
Published: SpringerOpen 2006-06-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/70830
Description
Summary: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.
ISSN:1687-1820
1687-1812