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On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality

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  • Indexed by:期刊论文

  • Journal:JOURNAL OF GLOBAL OPTIMIZATION

  • Included Journals:SCIE、EI、Scopus

  • Volume:61

  • Issue:2

  • Page Number:379-396

  • ISSN No.:0925-5001

  • Key Words:Coderivative; Second-order cone; Parametric variational inequality; Lipschitz-like property; Bilevel programming

  • Abstract: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.

  • Date of Publication:2015-02-01
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