Iterative solution of split variational inclusion problem in a real Banach spaces

Abstract

In this paper, we study split variational inclusion problem in real Banach spaces with a view to analyze an iterative method for obtaining a solution of the split variational inclusion problem in Banach spaces. We propose an Halpern type algorithm and with our algorithm, we state and prove a strong convergence theorem for the approximation of solution of split variational inclusion problem in the frame work of p-uniformly convex Banach spaces which are also uniformly smooth. Our results extend and complement many known related results in the literature.