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论文类型：期刊论文
发表时间：2015-09-01
发表刊物：SET-VALUED AND VARIATIONAL ANALYSIS
收录刊物：SCIE、Scopus
卷号：23
期号：3
页面范围：399-414
ISSN号：1877-0533
关键字：Second order cone; Complementarity set; Tangent cone; Normal cone
摘要：The Mordukhovich coderivative has become an important tool for stability and optimality in variational analysis. In this paper, we focus on variational geometry of the complementarity set for second order cone. Particularly, the tangent cone and the normal cone to the complementarity set for second order cone are explicitly characterized. The result developed in this paper paves the way for characterizing the Mordukhovich coderivative of the normal mapping in the study of the Aubin property and optimality conditions for mathematical programs with second order cone complementarity constraints.