Iterative Algorithm for Mappings Satisfying \(\left({B}_{\gamma ,\mu }\right)\) Condition

Abstract

In this article, we introduce a novel iterative algorithm to approximate fixed point of mappings with $\left(B_{\gamma ,\mu }\right)$ condition. We establish some strong and weak convergence results in a uniformly convex Banach space. Using a numerical example, we compare the speed of the proposed algorithm with some leading iterative algorithms.