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TO Alakoya, AOE Owolabi, OT Mewomo (2021)
An inertial algorithm with a self-adaptive step size for a split equilibrium problem and fixed point problem of an infinite family of strict pseudo-contractionsJ. Nonlinear Var. Anal., 5
The main purpose of this paper is to study the split variational inequality problem in real Hilbert spaces. For solving this problem, we propose a new inertial method which combines advantages of the subgradient extragradient method and the projection contraction method. Similar to some recent developments for solving this problem the cost operators are pseudomonotone and uniformly continuous and do not require the knowledge of the Lipschitz constant associated with the variational inequality mapping. We prove that the proposed method converges strongly to a minimum norm solution of the problem and numerical examples are given to support our theoretical findings.
Boletín de la Sociedad Matemática Mexicana – Springer Journals
Published: Mar 1, 2022
Keywords: Projection and contraction method; Subgradient extragradient method; Split feasibility problem; Pseudomonotone mapping; Inertial technique; 47H09; 47H10; 49J20; 49J40
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