An inertial forward-backward splitting method for approximating solutions of certain optimization problems
Hammed Anuoluwapo Abass, Kazeem Olalekan Aremu, Lateef Olakunle Jolaoso, Oluwatosin Temitope Mewomo, Y Censor, T Elving, C Bryne, Y Censor, T Bortfield, N Martin, A Trofimov, Y Censor, T Elving, N Kopt, T Bortfield, Z, X Qin, J Yao, X Qin, A Petrusel, J Yao, L Jolaoso, F Ogbuisi, O Mewomo, L Jolaoso, K Oyewole, C Okeke, O Mewomo, L Jolaoso, A Taiwo, T Alakoya, O Mewomo, L Jolaoso, A Taiwo, T Alakoya, O Mewomo, X Qin, S Cho, L Wang, S Cho, W Li, S Kang, S Cho, B Bin Dehaish, X Qin, K Siriyan, A Kangtunyakarn, D Hieu, J Lions, G Stampaccchia, B Martinet, H Abass, C Izuchukwu, F Ogbuisi, O Mewomo, C Okeke, C Izuchukwu, R Rockafellar, L Ceng, C Wang, J Yao, B Polyak, F Alvarez, H Attouch, W Cholamjiak, N Pholasa, S Suantai, S Khan, W Cholamjiak, K Kazmi, K Cheawchan, A Kangtunyakarn, H Xu, W Takahashi, H Xu, J Yao, W Laowang, B Panyanak, H Xu
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.