The split feasibility problem and fixed point problem of Bregman totally quasi-asymptotically non-expansive mapping in Banach spaces

Abstract

In this article, an iterative algorithm is proposed for solving the split feasibility problem and fixed point problem of Bregman totally quasi-asymptotically nonexpansive mapping in p -uniformly convex and uniformly smooth real Banach spaces. We obtained and proved the strong convergence theorem of the iterative scheme presented. Then, our main result is used to solve split feasibility problem and equilibrium problem.