张立卫Liwei Zhang

(教授)

 博士生导师  硕士生导师
学位:博士
性别:男
毕业院校:大连理工大学
所在单位:数学科学学院
电子邮箱:lwzhang@dlut.edu.cn

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Error bounds for affine variational inequalities with second-order cone constraints

发表时间:2019-03-11 点击次数:

论文名称:Error bounds for affine variational inequalities with second-order cone constraints
论文类型:期刊论文
第一作者:Guo, Fang -Fang
通讯作者:Guo, FF (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.
合写作者:Zhang, Li-Wei,Ren, Yong-Hong
发表刊物:OPERATIONS RESEARCH LETTERS
收录刊物:Scopus、SCIE、EI
卷号:45
期号:5
页面范围:456-460
ISSN号:0167-6377
关键字:Lipschitz error bound; Holder error bound; Variational inequality; Second order cone
摘要:In this paper, error bounds for affine variational inequalities with second-order cone constraints are considered. Examples are given to show that, in general, Lipschitz error bounds may be invalid for affine second-order cone inclusion problems. We provide a sufficient condition (not stronger than Mangasarian-Fromovitz constraint qualification), under which a local Lipschitz error bound is valid for the variational inequality problem. Moreover, under a full row rank assumption, a local HOlder error bound is established for the variational inequality problem and the Wilder exponent is bounded by a function of problem dimensions. (C) 2017 Elsevier B.V. All rights reserved.
发表时间:2017-09-01