Approximation method for solutions of multiple set split feasibility problem and fixed point problem in Banach space

Abstract

In this paper, we introduce an iterative algorithm for approximating a solution of a variational inequality problem for a strongly accretive, L-Lipschitz map with solution of a multiple sets split feasibility problem and fixed point problem of a nonexpansive map in some Banach spaces. A strong convergence theorem is proved. The theorem presented here improve several recently announced results.