Open Access Research Article

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

Yeong-Cheng Liou1*, Yonghong Yao2 and Rudong Chen2

Author Affiliations

1 Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan

2 Department of Mathematics, Tianjin Polytechnic University, Tianji 300160, China

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Fixed Point Theory and Applications 2007, 2007:029091 doi:10.1155/2007/29091


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2007/1/029091


Received:17 December 2006
Revisions received:6 February 2007
Accepted:6 February 2007
Published:14 March 2007

© 2007 Liou et al.

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.

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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