Open Access

Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Nonexpansive Mappings

Fixed Point Theory and Applications20072007:029091

https://doi.org/10.1155/2007/29091

Received: 17 December 2006

Accepted: 6 February 2007

Published: 14 March 2007

Abstract

We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings . We show that the proposed iteration scheme converges to the common fixed point which solves some variational inequality.

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Authors’ Affiliations

(1)
Department of Information Management, Cheng Shiu University
(2)
Department of Mathematics, Tianjin Polytechnic University

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Copyright

© Yeong-Cheng Liou 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.