CONVERGENCE THEOREMS OF ITERATIVE SEQUENCES WITH ERRORS FOR NONEXPANSIVE MAPPINGS

Abstract

Let E be a real uniformly convex Banach space and C be a nonempty closed convex subset of E. It is shown that under a condition weaker than compactness, weak and strong convergence theorems of iterative sequences with errors to some common fixed points for three nonexpansive mappings. The results presented in this paper also extend and improve some important results(see,e.g.,[3, 4, 9, 11]).