A New Composite Implicit Iteration Process for Generalized Asymptotically quasi-nonexpansive Mappings in Banach Spaces

Abstract

The purpose of this paper is to prove the strong convergence of a new modified composite implicit iterative process with errors for two finite families of generalized asymptotically quasi-nonexpansive mappings in framework of Banach space. Our results extend some known results.
MSC (2010): 47H09, 47H10, 65J15.

Key Words : Generalized asymptotically quasi-nonexpansive mapping, composite implicit iterative scheme, uniformly continuous, Banach space.