An iterative regularization method for variational inequalities in Hilbert spaces

被引：0
|
作者：
Xu, Hong-Kun [1 ]
Altwaijry, Najla [2 ]
Chebbi, Souhail [2 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Peoples R China
[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2020年 / 36卷 / 03期
关键词：
monotone operator; variational inequality; projection; iterative method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an iterative method for regularization of a variational inequality (VI) defined by a Lipschitz continuous monotone operator in the case where the set of feasible solutions is decomposed to the intersection of finitely many closed convex subsets of a Hilbert space. We prove the strong convergence of the sequence generated by our algorithm. It seems that this is the first time in the literature to handle iterative solution of ill-posed VIs in the domain decomposition case.
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页码：475 / 482
页数：8
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