ITERATIVE SCHEME FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS WITH ERROR MEMBERS

Zhao-Hong Sun (P. R. China), Yong-Qin Ni (P. R. China) and Xin-Ming Chen (P. R. China)

Received July 2, 2007

Abstract

In this paper, we introduce a new and simple iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings with error members and study the strong convergence of the sequence generated by this scheme. Our results are in a new situation and generalize some previous known results.

Keywords and phrases: asymptotically quasi-nonexpansive mappings, iterative scheme for a finite family mappings, strong convergence,  uniformly Lipschitzian, common fixed point.