Inertial Extragradient Algorithms for Solving Equilibrium Problems

被引：0

作者：

Nguyen The Vinh

Le Dung Muu

机构：

[1] University of Transport and Communications,Department of Mathematics

[2] Thang Long University,TIMAS

[3] Institute of Mathematics,undefined

[4] VAST,undefined

来源：

Acta Mathematica Vietnamica | 2019年 / 44卷

关键词：

Inertial method; Extragradient algorithm; Variational inequality; Equilibrium problem; Pseudomonotone; Lipschitz-type inequality; 47H10; 47J25; 47N10; 90C25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce two new algorithms based upon the extragradient and inertial methods for solving pseudomonotone equilibrium problems in real Hilbert spaces. Strong converge and weak convergence of the proposed algorithms are established under some mild assumptions. Numerical results show that the proposed algorithms are more efficient than some existing methods for equilibrium problems.

引用

页码：639 / 663

页数：24

共 50 条

[1] Inertial Extragradient Algorithms for Solving Equilibrium Problems
Nguyen The Vinh
Le Dung Muu
ACTA MATHEMATICA VIETNAMICA, 2019, 44 (03) : 639 - 663
[2] Inertial Extragradient Methods for Solving Split Equilibrium Problems
Suantai, Suthep
Petrot, Narin
Khonchaliew, Manatchanok
MATHEMATICS, 2021, 9 (16)
[3] Modified extragradient algorithms for solving equilibrium problems
Dang Van Hieu
Cho, Yeol Je
Xiao, Yi-bin
OPTIMIZATION, 2018, 67 (11) : 2003 - 2029
[4] INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING GENERALIZED EQUILIBRIA PROBLEMS
Ceng, Lu-Chuan
Yao, Zhangsong
Yin, Tzu-Chien
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, 86 (03): : 3 - 14
[5] INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING GENERALIZED EQUILIBRIA PROBLEMS
Ceng, Lu-Chuan
Yao, Zhangsong
Yin, Tzu-Chien
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (03): : 3 - 14
[6] An inertial extragradient method for solving bilevel equilibrium problems
Munkong, Jiraprapa
Van Bui Dinh
Ungchittrakool, Kasamsuk
CARPATHIAN JOURNAL OF MATHEMATICS, 2020, 36 (01) : 91 - 107
[7] Extragradient methods with dual inertial steps for solving equilibrium problems
Rehman, Habib ur
Ghosh, Debdas
Yao, Jen-Chih
Zhao, Xiaopeng
APPLICABLE ANALYSIS, 2024,
[8] Extragradient algorithms for solving equilibrium problems on Hadamard manifolds
Tan, Bing
Qin, Xiaolong
Yao, Jen-Chih
APPLIED NUMERICAL MATHEMATICS, 2024, 201 : 187 - 216
[9] Hybrid proximal point and extragradient algorithms for solving equilibrium problems
Anh P.N.
Hien N.D.
Acta Mathematica Vietnamica, 2014, 39 (3) : 405 - 423
[10] Halpern inertial subgradient extragradient algorithm for solving equilibrium problems in Banach spaces
Abass, H. A.
APPLICABLE ANALYSIS, 2024,

← 1 2 3 4 5 →