TWO NEW PROJECTION ALGORITHMS FOR VARIATIONAL INEQUALITIES IN HILBERT SPACES

被引：0

作者：

Tan, Bing ^{[1
]}

Cho, Sun Young ^{[2
]}

机构：

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

[2] Gyeongsang Natl Univ, Jinju Si, South Korea

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 11期

关键词：

Variational inequality; subgradient extragradient method; inertial method; shrinking projection method; pseudomonotone mapping; STRONG-CONVERGENCE; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; SPLITTING METHOD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two new projection-type algorithms arc introduced for solving pseudomonotone variational inequalities in real Hilbert spaces. The proposed methods use two non-monotonic step sizes allowing them to work adaptively without the prior information of the Lipschitz constant of the operator. Strong convergence theorems for the proposed methods are established under suitable conditions. A fundamental numerical example is given to verify the efficiency of the suggested methods in comparison with some known ones.

引用

页码：2523 / 2534

页数：12

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