An inertial forward-backward splitting method for approximating solutions of certain optimization problems

2020 Journal of Nonlinear Functional Analysis  
The purpose of this paper is to introduce an inertial-type iterative algorithm for approximating solutions of a split general system of variational inequalities, minimization problems and fixed point problems of a finite family of quasi-nonexpansive mappings. We prove a strong convergence theorem in the framework of real Hilbert spaces. An application to split feasibility problems is also presented. A numerical example is provided to show the applicability of our main results.
doi:10.23952/jnfa.2020.6 fatcat:d4vjctyjlbarloohixbfn6k4wy