ITERATION SCHEME FOR A PAIR OF SIMULTANEOUSLY ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES

Abstract

We introduce the notion of a pair of simultaneously asymptotically quasi-nonexpansive type mappings and prove a general strong convergence theorem of the iteration scheme with errors for a pair of simultaneously asymptotically quasi-nonexpansive type mappings in Banach spaces. The result of this paper is an extension and an improvement of the corresponding well known results.