AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS WITH ERRORS IN BANACH SPACES

Abstract

We extend the implicit iteration process introduced by Xu-Ori for a finite family of nonexpansive mappings to a scheme with error members and prove the sequence generated by the scheme converges strongly to a common fixed point of the family in uniformly convex Banach space, requiring one member T in the family to be semi-compact.