Projection and contraction method with double inertial steps for quasi-monotone variational inequalities

被引：6

作者：

Li, Haiying ^{[1
]}

Wang, Xingfang ^{[1
]}

Wang, Fenghui ^{[2
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Peoples R China

[2] Luoyang Normal Univ, Dept Math, Luoyang, Peoples R China

来源：

OPTIMIZATION | 2025年 / 74卷 / 07期

关键词：

Variational inequality; projection and contraction method; double inertial; quasi-monotone; weak and linear convergence; SUBGRADIENT EXTRAGRADIENT METHOD; CONVERGENCE; ALGORITHM;

D O I：

10.1080/02331934.2024.2323102

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：

In this paper, we present a modified projection and contraction method for solving quasi-monotone variational inequalities in real Hilbert spaces. Our proposed method is a combination of double inertial extrapolation steps, the subgradient extragradient method and the projection contraction method, which can effectively accelerate the convergence rate. The weak and linear convergence have been obtained under some suitable conditions. Some numerical experiments are given to show that our proposed method outperforms the related methods.

引用

页码：1643 / 1674

页数：32

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