Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

被引：34
|
作者：
Yang, Jun [1 ,2 ]
机构：
[1] Xianyang Normal Univ, Sch Math & Informat Sci, Xianyang, Peoples R China
[2] Xidian Univ, Sch Math & Stat, Xian, Peoples R China
来源：
APPLICABLE ANALYSIS | 2021年 / 100卷 / 05期
关键词：
Variational inequalities; projection; subgradient extragradient method; pseudomonotone mapping; convex set;
D O I：
10.1080/00036811.2019.1634257
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce an inertial algorithm for solving classical variational inequalities with Lipschitz continuous and pseudomonotone mapping in real Hilbert space. The algorithm is inspired by subgradient extragradient method and the inertial method with a new step size. The convergence of algorithm is established without the knowledge of the Lipschitz constant of the mapping. Finally, some numerical experiments are presented to show the efficiency and advantage of the proposed algorithm.
引用
收藏
页码：1067 / 1078
页数：12
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