Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces

被引：16

作者：

Ceng, Lu-Chuan ^{[1
]}

Liou, Yeong-Cheng ^{[2
,3
,4
]}

Yao, Jen-Chih ^{[5
]}

Yao, Yonghong ^{[6
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Kaohsiung Med Univ, Dept Healthcare Adm & Med Informat, Ctr Big Data Analyt & Intelligent Healthcare, Kaohsiung 807, Taiwan

[3] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 807, Taiwan

[4] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 807, Taiwan

[5] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan

[6] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 08期

关键词：

System of time-dependent hemivariational inequalities; alpha-well-posedness; monotonicity; Clarke's generalized gradient; regularity; QUASI-VARIATIONAL-INEQUALITIES; OPTIMIZATION PROBLEMS; INCLUSION PROBLEMS; EQUILIBRIUM PROBLEMS; REGULARIZATION; CONSTRAINTS;

D O I：

10.22436/jnsa.010.08.26

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we generalize the concept of alpha-well-posedness to a system of time-dependent hemivariational inequalities without Volterra integral terms in Banach spaces. We establish some metric characterizations of alpha-well-posedness and prove some equivalence results of strong alpha-well-posedness (resp., in the generalized sense) between a system of time-dependent hemivariational inequalities and its derived system of inclusion problems. (c) 2017 All rights reserved.

引用

页码：4318 / 4336

页数：19

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