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Received July 27, 2019; Accepted January 23, 2020; Published February 3, 2020
Abstract. 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.
How to Cite this Article:
H.A. Abass, K.O. Aremu, L.O. Jolaoso, O.T. Mewomo, An inertial forward-backward splitting method for approximating solutions of certain optimization problems, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 6, pp. 1-20.