Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints

被引：53

作者：

Ceng, L. C. ^{[1
]}

Petrusel, A. ^{[2
,3
]}

Qin, X. ^{[4
]}

Yao, J. C. ^{[5
,6
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China

[2] Babes Bolyai Univ, Dept Math, Cluj Napoca, Romania

[3] Acad Romanian Scientists, Bucharest, Romania

[4] Natl Yunlin Univ Sci & Technol, Gen Educ Ctr, Touliu, Taiwan

[5] China Med Univ Hosp, Res Ctr Interneural Comp, Taichung, Taiwan

[6] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung, Taiwan

来源：

OPTIMIZATION | 2021年 / 70卷 / 5-6期

关键词：

Subgradient extragradient approach; variational inequality problem; asymptotically nonexpansive operator; fixed point; STRONG-CONVERGENCE; APPROXIMATION; OPERATORS;

D O I：

10.1080/02331934.2020.1858832

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach. Common solution theorems are obtained in Hilbert spaces.

引用

页码：1337 / 1358

页数：22

共 50 条

[1] MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT ALGORITHMS FOR VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
Wu, Danfeng
Zhu, Li-Jun
Shan, Zhuang
Wei, Haicheng
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (01) : 97 - 106
[2] Modified inertial subgradient extragradient algorithms for generalized equilibria systems with constraints of variational inequalities and fixed points
Ceng, Lu-Chuan
Chen, Shih-Hsin
Liou, Yeong-Cheng
Yin, Tzu-Chien
[J]. AIMS MATHEMATICS, 2024, 9 (06): : 13819 - 13842
[3] Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems
Ceng, Lu-Chuan
Yuan, Qing
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
[4] Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems
Lu-Chuan Ceng
Qing Yuan
[J]. Journal of Inequalities and Applications, 2019
[5] Hybrid Extragradient Iterative Algorithms for Variational Inequalities, Variational Inclusions, and Fixed-Point Problems
Ceng, Lu-Chuan
Wen, Ching-Feng
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[6] An Inertial Type Subgradient Extragradient Method for Common Fixed Point and Variational Inequalities Problems in Real
Ali, B.
Ajio, J. T.
[J]. JOURNAL OF MATHEMATICAL EXTENSION, 2024, 18 (01)
[7] Subgradient-like extragradient algorithms for systems of variational inequalities with constraints
Ceng, Lu-Chuan
Yin, Tzu-Chien
[J]. FILOMAT, 2023, 37 (21) : 7181 - 7197
[8] A MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND COMMON FIXED POINT PROBLEMS
Ceng, L. C.
Petrusel, A.
Qin, X.
Yao, J. C.
[J]. FIXED POINT THEORY, 2020, 21 (01): : 93 - 108
[9] Inertial Modification Using Self-Adaptive Subgradient Extragradient Techniques for Equilibrium Programming Applied to Variational Inequalities and Fixed-Point Problems
Rehman, Habib Ur
Kumam, Wiyada
Sombut, Kamonrat
[J]. MATHEMATICS, 2022, 10 (10)
[10] STRONG CONVERGENCE OF INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS
Tan, B.
Liu, L.
Qin, X.
[J]. FIXED POINT THEORY, 2022, 23 (02): : 707 - 727

← 1 2 3 4 5 →