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论文类型:期刊论文
发表时间:2015-02-01
发表刊物:JOURNAL OF GLOBAL OPTIMIZATION
收录刊物:SCIE、EI、Scopus
卷号:61
期号:2
页面范围:379-396
ISSN号:0925-5001
关键字:Coderivative; Second-order cone; Parametric variational inequality;
Lipschitz-like property; Bilevel programming
摘要:The explicit representation of Mordukhovich coderivative of a solution mapping to a second-order cone constrained parametric variational inequality is established by the reduction approach. The result obtained is used to obtain a necessary and sufficient condition for the Lipschitz-like property of the solution mapping to the parametric variational inequality and global optimality conditions for a bilevel programming with a second-order cone constrained lower level problem.