Convergence analysis of subgradient extragradient method with inertial technique for solving variational inequalities and fixed point problems

被引：0

作者：

Guo, Danni ^{[1
]}

Cai, Gang ^{[2
]}

Tan, Bing ^{[3
]}

机构：

[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[3] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 148卷

关键词：

Strong convergence; Subgradient extragradient method; Fixed point; Pseudomonotone operator; Quasinonexpansive mapping; HYBRID METHOD; OPTIMIZATION;

D O I：

10.1016/j.cnsns.2025.108851

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper presents a new iterative algorithm based on Mann-type subgradient extragradient method to solve pseudomonotone variational inequalities and fixed point problems of quasinonexpansive mappings in real Hilbert spaces. Our algorithm, employing inertial technique in each iteration, significantly enhances its convergence. We prove a strong convergence theorem under suitable conditions imposed on the operators and parameters, without prior knowledge of the Lipschitz constant. The efficacy and validity of the proposed method are confirmed through several numerical experiments.

引用

页数：17

共 47 条

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