Well-Posedness by Perturbations for Variational-Hemivariational Inequalities

被引：5

作者：

Lv, Shu ^{[1
]}

Xiao, Yi-bin ^{[1
]}

Liu, Zhi-bin ^{[2
,3
]}

Li, Xue-song ^{[4
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Sichuan, Peoples R China

[2] SW Petr Univ, Dept Appl Math, Chengdu 610500, Peoples R China

[3] State Key Lab Oil & Gas Reservoir & Exploitat, Chengdu 610500, Peoples R China

[4] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

基金：

中国国家自然科学基金;

关键词：

OPTIMIZATION; REGULARIZATION; EXISTENCE;

D O I：

10.1155/2012/804032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational-hemivariational inequality and prove their equivalence between the well-posedness by perturbations for the variational-hemivariational inequality and the well-posedness by perturbations for the corresponding inclusion problem.

引用

页数：18

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