Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings

作者:Liou Yeong Cheng*; Yao Yonghong; Chen Rudong
来源:Fixed Point Theory and Applications, 2007, 29091.
DOI:10.1155/2007/29090

摘要

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