A modified popov's subgradient extragradient method for variational inequalities in banach spaces

被引：0
|
作者：
Sunthrayuth, Pongsakorn [1 ]
Rehman, Habib Ur [2 ]
Kumam, Poom [2 ]
机构：
[1] Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), 39 Rangsit-Nakhonnayok Rd., Klong 6, Thanyaburi, Pathumthani,12110, Thailand
[2] KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok,1
来源：
Journal of Nonlinear Functional Analysis | 2021年 / 2021卷 / 01期
关键词：
Variational techniques - Numerical methods - Mapping;
D O I：
10.23952/JNFA.2021.7
中图分类号：
学科分类号：
摘要：
In this paper, we propose a new modification of Popov's subgradient extragradient method for solving the variational inequality problem involving pseudo-monotone and Lipschitz-continuous mappings in the framework of Banach spaces. The weak convergence theorem of the proposed method is established without the knowledge of the Lipschitz constant of the Lipschitz continuous mapping. Finally, we provide several numerical experiments of the proposed method including comparisons with other related methods. Our result generalizes and extends many related results in the literature from Hilbert spaces to Banach spaces. © 2021 Journal of Nonlinear Functional Analysis
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