Journal of inequalities and applications | |
Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications | |
Habib ur Rehman1  Poom Kumam2  Aviv Gibali3  Wiyada Kumam4  | |
[1] Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, 10140, Bangkok, Thailand;Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, 10140, Bangkok, Thailand;Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan;Department of Mathematics, ORT Braude College, 2161002, Karmiel, Israel;Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi, Thanyaburi, 12110, Pathumthani, Thailand; | |
关键词: Pseudomonotone bifunction; Equilibrium problem; Weak convergence; Lipschitz-type conditions; Variational inequality problem; | |
DOI : 10.1186/s13660-021-02591-1 | |
来源: Springer | |
【 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.
【 授权许可】
CC BY
【 预 览 】
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