An inertial forward–backward splitting method for solving combination of equilibrium problems and inclusion problems

Abstract

In this paper, we prove a weak convergence theorem for finding a common solution of combination of equilibrium problems, infinite family of nonexpansive mappings, and the modified inclusion problems using inertial forward–backward algorithm. Further, we discuss some applications of our obtained results. Furthermore, we provide some numerical results to illustrate the convergence behavior of some of our results, and compare the convergence rate between the existing projection method and the proposed inertial forward–backward algorithm.