Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings

Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in this paper improve and extend the corresponding results of Osilike, Xu and Ori, Chidume and S...

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Bibliographic Details
Main Authors: Yeong-Cheng Liou, Yonghong Yao
Format: Article
Language:English
Published: SpringerOpen 2008-04-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/280908
Description
Summary:Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in this paper improve and extend the corresponding results of Osilike, Xu and Ori, Chidume and Shahzad, and others.
ISSN:1025-5834
1029-242X