Some metric characterizations of well-posedness for hemivariational-like inequalities

被引:7
|
作者
Khakrah E. [1 ]
Razani A. [1 ]
Mirzaei R. [1 ]
Oveisiha M. [1 ]
机构
[1] Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34149-16818, Qazvinc
来源
Razani, A. (razani@sci.ikiu.ac.ir) | 1600年 / Mathematical Research Press卷 / 2017期
关键词
Approximating sequence; Clarke's generalized gradient; Hemivariational-like inequality; Well-posedness;
D O I
10.23952/jnfa.2017.44
中图分类号
学科分类号
摘要
In this paper, some conditions for the well-posedness of the hemivariational-like inequalities in Banach spaces are investigated. Under different monotonicity assumptions, some equivalent formulations of the hemivariational-like inequality are presented. In addition, some metric characterizations of the well-posed hemivariationallike inequalities are presented. A class of hemivariational-like inequalities which are well-posed are also obtained. © 2017 Journal of Nonlinear Functional Analysis.
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