Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations

被引：7
|
作者：
Ceng, Lu-Chuan [1 ,2 ]
Wong, Ngai-Ching [3 ]
Yao, Jen-Chih [4 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China
[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[4] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 80708, Taiwan
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
基金：
美国国家科学基金会;
关键词：
OPTIMIZATION PROBLEMS; INCLUSION PROBLEMS; EXTREMAL SOLUTIONS; EXISTENCE;
D O I：
10.1155/2012/712306
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of variational-hemivariational inequalities with perturbations. We establish some metric characterizations for the well-posed strongly mixed variational-hemivariational inequality and give some conditions under which the strongly mixed variational-hemivariational inequality is stronglywell-posed in the generalized sense. On the other hand, it is also proven that under some mild conditions there holds the equivalence between the well posedness for a strongly mixed variational-hemivariational inequality and the well-posedness for the corresponding inclusion problem.
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收藏
页数：21
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