Gap Functions and Error Bounds for Variational-Hemivariational Inequalities

被引：28
作者：
Hung, Nguyen Van [1 ,2 ]
Migorski, Stanislaw [3 ,4 ,5 ]
Tam, Vo Minh [6 ]
Zeng, Shengda [4 ,5 ]
机构：
[1] Ton Duc Thang Univ, Dept Management Sci & Technol Dev, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China
[4] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China
[5] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
[6] Dong Thap Univ, Dept Math, Cao Lanh, Dong Thap, Vietnam
来源：
ACTA APPLICANDAE MATHEMATICAE | 2020年 / 169卷 / 01期
基金：
欧盟地平线“2020”;
关键词：
Variational-hemivariational inequality; Gap function; Global error bound; Semipermeability problem; NUMERICAL-ANALYSIS;
D O I：
10.1007/s10440-020-00319-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：691 / 709
页数：19
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