Weak sharpness for solutions of nonsmooth variational inequalities and applications

被引：0
|
作者：
Nguyen, Luong, V [1 ]
Qin, Xiaolong [2 ]
机构：
[1] Hong Duc Univ, Dept Nat Sci, Thanh Hoa, Vietnam
[2] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2020年 / 36卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Weak sharpness and finite convergence and nonsmooth variational inequalities; FINITE CONVERGENCE; MINIMA; TERMINATION; ALGORITHMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first give some new characterizations of weak sharpness of the solution set of nonsmooth variational inequalities in terms of partial subdiferentials/G <<^>>ateaux derivatives of involving bifunctions. As applications, we use a new characterization to establish sufficient conditions for guaranteeing finite termination of an arbitrary algorithm solving nonsmooth variational inequalities under the weak sharpness assumption.
引用
收藏
页码：109 / 117
页数：9
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