A New Inertial Subgradient Extragradient method for Solving Quasimonotone Variational Inequalities

被引：0

作者：

Rehman, Habib Ur ^{[1
]}

Kumam, Wiyada ^{[2
]}

Sombut, Kamonrat ^{[3
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] Rajamangala Univ Technol Thanyaburi, Appl Math Sci & Engn Res Unit AMSERU, Dept Math & Comp Sci, Fac Sci & Technol,Program Appl Stat, Thanyaburi 12110, Pathumthani, Thailand

[3] Rajamangala Univ Technol Thanyaburi, Appl Math Sci & Engn Res Unit AMSERU, Fac Sci & Technol, Dept Math & Comp Sci, Thanyaburi 12110, Pathumthani, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2021年 / 19卷 / 03期

关键词：

Variational inequality problem; Subgradient extragradient method; Weak convergence result; Quasimonotone operator; Lipschitz continuity; PSEUDOMONOTONE EQUILIBRIUM PROBLEMS; WEAK-CONVERGENCE; FIXED-POINTS; REAL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this paper is to study the numerical solution of variational inequalities involving quasimonotone operators in infinite-dimensional real Hilbert spaces. We prove that the iterative sequence generated by the proposed algorithm for the solution of quasimonotone variational inequalities converges weakly to the solution. The main advantage of the proposed iterative scheme is that it employs an inertial scheme and a monotone stepsize rule based on operator knowledge rather than a Lipschitz constant or another line search method. Numerical results show that the proposed algorithm is effective for solving quasimonotone variational inequalities.?

引用

页码：981 / 992

页数：12

共 50 条

[21] A RELAXED INERTIAL FACTOR OF THE MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDO MONOTONE VARIATIONAL INEQUALITIES IN HILBERT SPACES
Duong Viet THONG
Vu Tien DUNG
Acta Mathematica Scientia, 2023, 43 (01) : 184 - 204
[22] Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems
G. N. Ogwo
C. Izuchukwu
Y. Shehu
O. T. Mewomo
Journal of Scientific Computing, 2022, 90
[23] Convergence analysis of subgradient extragradient method with inertial technique for solving variational inequalities and fixed point problems
Guo, Danni
Cai, Gang
Tan, Bing
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 148
[24] Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities
Yang, Jun
APPLICABLE ANALYSIS, 2021, 100 (05) : 1067 - 1078
[25] Strong convergence of subgradient extragradient method with regularization for solving variational inequalities
Dang Van Hieu
Pham Ky Anh
Le Dung Muu
Optimization and Engineering, 2021, 22 : 2575 - 2602
[26] Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems
Ogwo, G. N.
Izuchukwu, C.
Shehu, Y.
Mewomo, O. T.
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 90 (01)
[27] Strong convergence of subgradient extragradient method with regularization for solving variational inequalities
Hieu, Dang Van
Anh, Pham Ky
Muu, Le Dung
OPTIMIZATION AND ENGINEERING, 2021, 22 (04) : 2575 - 2602
[28] Inertial subgradient extragradient with projection method for solving variational inequality and fixed point problems
Maluleka, Rose
Ugwunnadi, Godwin Chidi
Aphane, Maggie
AIMS MATHEMATICS, 2023, 8 (12): : 30102 - 30119
[29] Strong convergence of inertial subgradient extragradient method for solving variational inequality in Banach space
Khan, A. R.
Ugwunnadi, G. C.
Makukula, Z. G.
Abbas, M.
CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (03) : 327 - 338
[30] Modified subgradient extragradient method to solve variational inequalities
Muangchoo, Kanikar
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 25 (02): : 133 - 149

← 1 2 3 4 5 →