Weak and strong convergence of inertial algorithms for solving split common fixed point problems

Abstract In this paper, we propose two iterative schemes for approximating solutions of split common fixed point problems in multiple linear operators case. The first algorithm implements the Krasnosel’skiĭ–Mann iteration with an inertial effect which weak convergence is established under mild assumptions. With tool nearly contractive mappings, introduce a viscosity-type ensures strong convergence. We apply our results to solve monotone variational inclusion problem. A numerical example given demonstrate efficiency proposed algorithms.