Modified Viscosity Subgradient Extragradient-Like Algorithms for Solving Monotone Variational Inequalities Problems

被引：10

作者：

Wairojjana, Nopparat ^{[1
]}

Younis, Mudasir ^{[2
]}

Rehman, Habib Ur ^{[3
]}

Pakkaranang, Nuttapol ^{[3
]}

Pholasa, Nattawut ^{[4
]}

机构：

[1] Valaya Alongkorn Rajabhat Univ Royal Patronage VR, Fac Sci & Technol, Appl Math Program, 1 Moo 20 Phaholyothin Rd, Klongluang 13180, Pathumthani, Thailand

[2] UIT Rajiv Gandhi Technol Univ, Univ Technol MP, Dept Appl Math, Bhopal 462033, India

[3] King Mongkuts Univ Technol Thonburi KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand

[4] Univ Phayao, Sch Sci, Phayao 56000, Thailand

来源：

AXIOMS | 2020年 / 9卷 / 04期

关键词：

projection methods; strong convergence; extragradient method; monotone mapping; variational inequalities; STRONG-CONVERGENCE; PROJECTION;

D O I：

10.3390/axioms9040118

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Variational inequality theory is an effective tool for engineering, economics, transport and mathematical optimization. Some of the approaches used to resolve variational inequalities usually involve iterative techniques. In this article, we introduce a new modified viscosity-type extragradient method to solve monotone variational inequalities problems in real Hilbert space. The result of the strong convergence of the method is well established without the information of the operator's Lipschitz constant. There are proper mathematical studies relating our newly designed method to the currently state of the art on several practical test problems.

引用

页码：1 / 19

页数：19

共 43 条

[1]

[Anonymous], 2007, EQUILIBRIUM MODELS V

[2]

[Anonymous], 1976, Matecon

[3]

Antipin AS., 1976, Ekonomika i Mat. Metody, V12, P1164

[4] The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space [J].