Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications

被引：0
作者：
Habib ur Rehman
Poom Kumam
Aviv Gibali
Wiyada Kumam
机构：
[1] King Mongkut’s University of Technology Thonburi (KMUTT),Center of Excellence in Theoretical and Computational Science (TaCS
[2] China Medical University,CoE) & KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science
[3] ORT Braude College,Department of Medical Research, China Medical University Hospital
[4] Rajamangala University of Technology Thanyaburi,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
Pseudomonotone bifunction; Equilibrium problem; Weak convergence; Lipschitz-type conditions; Variational inequality problem;
D O I：
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学科分类号：
摘要：
In this paper, we introduce a new algorithm by incorporating an inertial term with a subgradient extragradient algorithm to solve the equilibrium problems involving a pseudomonotone and Lipschitz-type continuous bifunction in real Hilbert spaces. A weak convergence theorem is well established under certain mild conditions for the bifunction and the control parameters involved. Some of the applications to solve variational inequalities and fixed point problems are considered. Finally, several numerical experiments are performed to demonstrate the numerical efficacy and superiority of the proposed algorithm over other well-known existing algorithms.
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