Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 29091, 10 pages
doi:10.1155/2007/29091
Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
Yeong-Cheng Liou1
, Yonghong Yao2
and Rudong Chen2
1Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
2Department of Mathematics, Tianjin Polytechnic University, Tianji 300160, China
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.