A MODIFIED INERTIAL SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND COMMON FIXED POINT PROBLEMS

被引：135

作者：

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

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

Qin, X. ^{[4
]}

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

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, 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 64002, Taiwan

[5] China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40447, Taiwan

来源：

FIXED POINT THEORY | 2020年 / 21卷 / 01期

关键词：

Inertial subgradient extragradient method; variational inequality; pseudomonotone mapping; nonexpansive mapping; fixed point; STRONG-CONVERGENCE; PROJECTION METHOD; APPROXIMATION; CONSTRAINTS; SYSTEMS;

D O I：

10.24193/fpt-ro.2020.1.07

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a modified inertial subgradient extragradient method for solving a variational inequality problem with Lipschitz pseudomonotone mapping and a common fixed-point problem of a family of nonexpansive mappings. Under mild conditions, we obtain strong convergence theorems in a real Hilbert space. An application is also provided.

引用

页码：93 / 108

页数：16

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