INERTIAL ITERATIVE METHOD FOR SOLVING VARIATIONAL INEQUALITY PROBLEMS OF PSEUDO-MONOTONE OPERATORS AND FIXED POINT PROBLEMS OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

被引：4

作者：

Hu, Shaotao ^{[1
]}

Wang, Yuanheng ^{[1
]}

Tan, Bing ^{[2
]}

Wang, Fenghui ^{[3
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 611731, Peoples R China

[3] Luoyang Normal Univ, Dept Math, Luoyang 471022, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2023年 / 19卷 / 04期

关键词：

Variational inequality; fixed point; extragradient method; pseudo-monotone operator; strong convergence; SUBGRADIENT EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; WEAK-CONVERGENCE; ALGORITHMS; PROJECTION;

D O I：

10.3934/jimo.2022060

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we propose a new inertial viscosity iterative algorithm for solving the variational inequality problem with a pseudo-monotone operator and the fixed point problem involving a nonexpansive mapping in real Hilbert spaces. The advantage of the proposed algorithm is that it can work without the prior knowledge of the Lipschitz constant of the mapping. The strong convergence of the sequence generated by the proposed algorithm is proved under some suitable assumptions imposed on the parameters. Some numerical experiments are given to support our main results.

引用

页码：2655 / 2675

页数：21

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