Alternated inertial simultaneous and semi-alternating projection algorithms for solving the split equality problem

Abstract

In this paper, we introduce the simultaneous and semi-alternating projection algorithms for solving the split equality problem by using a new choice of the step size and combining the alternated inertial technique. The weak convergence of the proposed algorithms is analyzed under standard conditions. Finally, a numerical example is presented to illustrate the efficiency and advantage of the proposed algorithms by comparing with other methods.