Double inertial Forward-Backward-Forward method with adaptive step-size for variational inequalities with quasi-monotonicity

被引：2
|
作者：
Wang, Ke [1 ]
Wang, Yuanheng [1 ]
Shehu, Yekini [1 ]
Jiang, Bingnan [1 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 132卷
基金：
中国国家自然科学基金;
关键词：
Double inertial; Forward-Backward-Forward methods; Variational inequality; Weak and strong convergence; convergence; CONVERGENCE; WEAK;
D O I：
10.1016/j.cnsns.2024.107924
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper introduce a new inertial forward-backward-forward method with adaptive step size constructed by double inertial extrapolation steps and relaxations to solve variational inequalities with quasi-monotonicity in real Hilbert spaces. We obtain weak and strong convergence results for our propose inertial Forward-Backward-Forward method under some mild conditions. Linear convergence results under a special case of our proposed method are given. Preliminary numerical results show that our proposed method is competitive with other related methods in the literature.
引用
收藏
页数：17
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