Strong convergence result of forward–backward splitting methods for accretive operators in banach spaces with applications

Abstract

Our interest in this paper is to prove strong convergence results for finding zeros of the sum of two accretive operators by utilizing a viscosity type forward–backward splitting method. We also discuss applications of this method to approximation of solution to certain integro-differential equation with generalized p-Laplacian operator. Our results complement many recent and important results in the literature.