Open Access

Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings

Fixed Point Theory and Applications20072007:076971

DOI: 10.1155/2007/76971

Received: 23 May 2007

Accepted: 2 August 2007

Published: 10 September 2007

Abstract

We modified the classic Mann iterative process to have strong convergence theorem for a finite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the results announced by many others.

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Authors’ Affiliations

(1)
Department of Mathematics, Tianjin Polytechnic University
(2)
Department of Mathematics, Shijiazhuang University
(3)
Department of Mathematics, Gyeongsang National University

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Copyright

© Meijuan Shang et al. 2007

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.