Gap Functions and Error Bounds for Variational–Hemivariational Inequalities

被引：0

作者：

Nguyen Van Hung

Stanislaw Migórski

Vo Minh Tam

Shengda Zeng

机构：

[1] Ton Duc Thang University,Department for Management of Science and Technology Development

[2] Ton Duc Thang University,Faculty of Mathematics and Statistics

[3] Chengdu University of Information Technology,College of Applied Mathematics

[4] Yulin Normal University,Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing

[5] Jagiellonian University in Krakow,Faculty of Mathematics and Computer Science

[6] Dong Thap University,Department of Mathematics

来源：

Acta Applicandae Mathematicae | 2020年 / 169卷

关键词：

Variational–hemivariational inequality; Gap function; Global error bound; Semipermeability problem; 47J20; 49J40; 49J45; 74M10; 74M15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we investigate the gap functions and regularized gap functions for a class of variational–hemivariational inequalities of elliptic type. First, based on regularized gap functions introduced by Yamashita and Fukushima, we establish some regularized gap functions for the variational–hemivariational inequalities. Then, the global error bounds for such inequalities in terms of regularized gap functions are derived by using the properties of the Clarke generalized gradient. Finally, an application to a stationary nonsmooth semipermeability problem is given to illustrate our main results.

引用

页码：691 / 709

页数：18

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