Iterative methods for solving split common fixed-point problems with a weakened condition on step sizes

In this paper, we investigate split common fixed-point problems with multiple output subsets when the involved nonlinear mappings are demicontractive.By exploring the properties of demicontractive mappings, we further weaken the condition on the step size, which ensures the convergence of iterative methods for solving such problems.The preliminary experimental findings provide compelling empirical evidence substantiating the effectiveness of the proposed step size.