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

被引：71

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

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