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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Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs

发表时间:2019-03-12 点击次数:

论文名称:Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs
论文类型:期刊论文
第一作者:Zhang, Yi
通讯作者:Zhang, Y (reprint author), East China Univ Sci & Technol, Sch Sci, Dept Math, Shanghai, Peoples R China.
合写作者:Zhang, Liwei,Wu, Jia,Wang, Keding
发表刊物:OPTIMIZATION
收录刊物:SCIE、Scopus
卷号:66
期号:7
页面范围:1079-1103
ISSN号:0233-1934
关键字:Second-order cone program; local upper Lipschitz property; graphical derivative; second-order sufficient condition; strict constraint qualification
摘要:We characterize the local upper Lipschitz property of the stationary point mapping and the Karush-Kuhn-Tucker (KKT) mapping for a nonlinear second-order cone programming problem using the graphical derivative criterion. We demonstrate that the second-order sufficient condition and the strict constraint qualification are sufficient for the local upper Lipschitz property of the stationary point mapping and are both sufficient and necessary for the local upper Lipschitz property of the KKT mapping.
发表时间:2017-01-01