A different approach to approximating solutions of monotone Yoshida variational inclusion problem in a Banach space

Abstract

In this paper, we introduce an iterative algorithm for approximating a common solution of monotone yosida variational inclusion problem in the framework of p-uniformly convex and uniformly smooth Banach spaces. Using our iterative algorithm, we state and prove a strong convergence theorem for approximating a common solution of the aforementioned problem. We also consider an infinite family of Bregman quasi-nonexpansive mapping and prove its strong convergence result. Our result extends and complements some related results in literature.