Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space

Abstract

. In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of  xed points of the Contractive-like mapping in the framework of uniformly convex Banach space.