Modified Mann-type Inertial Subgradient Extragradient Methods for Solving Variational Inequalities in Real Hilbert Spaces

被引：1

作者：

Shan, Zhuang ^{[1
]}

Zhu, Lijun ^{[2
,3
]}

Wang, Yuanheng ^{[4
]}

Yin, Tzu-Chien ^{[5
]}

机构：

[1] North Minzu Univ, Coll Math & Informat Sci, Yinchuan 750021, Ningxia, Peoples R China

[2] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China

[3] North Minzu Univ, Hlth Big Data Res Inst, Yinchuan 750021, Ningxia, Peoples R China

[4] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China

[5] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan

来源：

FILOMAT | 2022年 / 36卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Variational Inequality; Subgradient Extragradient Methods; Tseng's Methods; Monotone Operators; Accelerated technique; ITERATIVE ALGORITHMS; FIXED-POINTS; CONVERGENCE; OPERATORS; SYSTEMS;

D O I：

10.2298/FIL2205557S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is to investigate the monotone variational inequalities (VIPs) in real Hilbert spaces. We constructed two iterative algorithms based on subgradient extragradient algorithms and Tseng's algorithms for solving VIPs. Convergence analysis of the suggested methods are proved. Several numerical examples to illustrate the efficiency of the methods are given.

引用

页码：1557 / 1572

页数：16

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