Strong convergence to a solution of nonlinear equations

Abstract

In this paper, we propose an algorithm for approximating the common fixed points of nonexpansive mappings and strongly pseudocontractive mappings. We include a few numerical examples to support our assertions and demonstrate that our technique converges faster. Consequently, we obtain an algorithm that converges strongly to the fixed point of the mapping. Also, under some assumptions, we obtain that our iterative process converges to a solution of fractional iterative integrodifferential and ordinary differential equations.