General Variational Inequalities: Existence of Solutions, Tikhonov-Type Regularization, and Well-posedness

被引：4
|
作者：
Tran Van Nghi [1 ]
Nguyen Nang Tam [1 ]
机构：
[1] Hanoi Pedag Univ 2, Hanoi, Vietnam
来源：
ACTA MATHEMATICA VIETNAMICA | 2022年 / 47卷 / 02期
关键词：
General variational inequality; Existence; Uniqueness; Tikhonov regularization; Well-posedness; STABILITY;
D O I：
10.1007/s40306-021-00435-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present necessary and sufficient conditions for existence and uniqueness of solutions of general variational inequalities (GVIs). A Tikhonov-type regularization method to find a solution of GVIs is proposed. Finally, under suitable conditions, we prove that the well-posedness of a GVI is equivalent to the solution existence and uniqueness. The obtained results are compared with the previous ones. In particular, our results generalize corresponding ones for inverse variational inequalities.
引用
收藏
页码：539 / 552
页数：14
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