Two-step inertial bregman projection iterative algorithm for solving the split feasibility problem

In this paper, we propose a new two-step inertial Bregman projection iterative algorithm by Halphern iterative method to solve the split feasibility problem in real Hilbert spaces. We give two selection strategies of step-sizes and prove that the proposed iterative sequence converges strongly to solution of the split feasibility problem. Our results extend and improve the corresponding results.