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An Implicit Iteration Process with Errors for a Finite Family of r−strictly Asymptotically Pseudocontractive Mappings

An Implicit Iteration Process with Errors for a Finite Family of r−strictly Asymptotically... In this paper, we will establish several strong convergence theorems for the approximation of common fixed points of r−strictly asymptotically pseudocontractive mappings in uniformly convex Banach spaces using the modiied implicit iteration sequence with errors, and prove the necessary and sufficient conditions for the convergence of the sequence. Our results generalize, extend and improve the recent work, in this topic[9,10]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

An Implicit Iteration Process with Errors for a Finite Family of r−strictly Asymptotically Pseudocontractive Mappings

Acta Mathematicae Applicatae Sinica , Volume 23 (2) – Jan 1, 2007

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Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-007-0370-7
Publisher site
See Article on Publisher Site

Abstract

In this paper, we will establish several strong convergence theorems for the approximation of common fixed points of r−strictly asymptotically pseudocontractive mappings in uniformly convex Banach spaces using the modiied implicit iteration sequence with errors, and prove the necessary and sufficient conditions for the convergence of the sequence. Our results generalize, extend and improve the recent work, in this topic[9,10].

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2007

References