A novel approach to Holder continuity of a class of parametric variational-hemivariational inequalities

被引：16

作者：

Hung, Nguyen Van ^{[1
,2
]}

Tam, Vo Minh ^{[3
]}

Liu, Zhenhai ^{[4
]}

Yao, Jen Chih ^{[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] Dong Thap Univ, Dept Math, Cao Lanh City, Dong Thap Prov, Vietnam

[4] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi, Peoples R China

[5] China Med Univ, Res Ctr Interneural Comp, China Med Univ Hosp, Taichung, Taiwan

来源：

OPERATIONS RESEARCH LETTERS | 2021年 / 49卷 / 02期

关键词：

Error bound; Holder continuity; Regularized gap function; Variational-hemivariational inequality;

D O I：

10.1016/j.orl.2021.02.001

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we first recall a class of parametric variational-hemivariational inequalities (PVHIs) introduced in Jiang et al. (2020). Then, based on the properties of the Clarke generalized gradient, we establish the Holder continuity of the solution mapping for PVHIs in terms of regularized gap functions under some assumptions imposed on the data of PVHIs. Finally, an example is given to illustrate our main results. (C) 2021 Elsevier B.V. All rights reserved.

引用

页码：283 / 289

页数：7

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