An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions

• Published in: Optimization Vol. 71; no. 3; pp. 583 - 611
• Main Authors: Izuchukwu, C., Ogwo, G. N., Mewomo, O. T.
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 04.03.2022; Taylor & Francis LLC
• Subjects: Feasibility; Generalized split feasibility problems; Hilbert space; Inclusions; inertial method; Inverse problems; Iterative methods; linear inverse problem; Mathematical analysis; monotone variational inclusions; Operators (mathematics); variational inequalities

In this paper, we propose a new inertial extrapolation method for solving the generalized split feasibility problems over the solution set of monotone variational inclusion problems in real Hilbert spaces. We prove that the proposed method converges strongly to a solution to the aforementioned probl...