个人信息Personal Information
教授
博士生导师
硕士生导师
性别:女
毕业院校:大连理工大学
学位:博士
所在单位:数学科学学院
学科:运筹学与控制论
办公地点:创新园大厦B1207
电子邮箱:wujia@dlut.edu.cn
Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs
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论文类型:期刊论文
发表时间:2017-01-01
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.