Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 29091, 10 pages
doi:10.1155/2007/29091
Research Article

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

Yeong-Cheng Liou,1 Yonghong Yao,2 and Rudong Chen2

 1Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
2Department of Mathematics, Tianjin Polytechnic University, Tianji 300160, China
Received 17 December 2006; Revised 6 February 2007; Accepted 6 February 2007

Recommended by Hélène Frankowska

Abstract

We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings {Ti}i=1N. We show that the proposed iteration scheme converges to the common fixed point x*∈ ⋂i=1NFix(Ti) which solves some variational inequality.