New Approximation Schemes for Two Asymptotically Perturbed Nonexpansive Nonself Mappings

Nattanawan Piwma, Tanakit Thianwan

Abstract

In this paper, we introduce and study a new type of two-step iterative scheme for two asymptotically perturbed nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for the new two-step iterative scheme in a uniformly convex Banach space. The results obtained in this paper generalize and refine some known results is the current literature.