A self-adaptive forward-backward-forward algorithm for solving split variational inequalities

被引：1
|
作者：
Yin, Tzu-Chien [1 ]
Hussain, Nawab [2 ]
Asiri, Asim [2 ]
机构：
[1] China Med Univ, Res Ctr Interneural Comp, China Med Univ Hosp, Taichung 40402, Taiwan
[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2023年 / 39卷 / 02期
关键词：
Split variational inequality; quasimonotone operator; forward-backward-forward algorithm; self-adaptive rule; PROXIMAL POINT ALGORITHM; ITERATIVE ALGORITHMS; WEAK-CONVERGENCE; PROJECTION METHODS;
D O I：
10.37193/CJM.2023.02.15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider an iterative approximation problem of split variational inequalities in Hilbert spaces. In order to solve this split problem, we construct an iterative algorithm which combines a forward-backward-forward method and a self-adaptive rule to update the step-sizes. We prove that the constructed algorithm converges strongly to a solution of the split variational inequalities under some mild assumptions.
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页码：553 / 567
页数：15
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