Two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators

In this paper, we use the dual variable to propose a two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators in real Hilbert spaces.Under suitable conditions, we obtain the weak convergence of the proposed algorithm and give applications in the split feasibility problem.A numerical experiment is given to illustrate the efficiency of the proposed iterative algorithm.