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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Mathematical Programming Problems with Complementarity Constraints
verfasst von : Vladimir Shikhman
Erschienen in: Topological Aspects of Nonsmooth Optimization
Verlag: Springer New York
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We study mathematical programming problems with complementarity constraints (MPCC) from the topological point of view. The (topological) stability of the MPCC feasible set is addressed. Therefore, we introduce Mangasarian-Fromovitz condition (MFC) and its stronger version (SMFC). Under SMFC, the MPCC feasible set is shown to be a Lipschitz manifold. The links to other well-known constraint qualifications for MPCCs are elaborated. The critical point theory for MPCCs is presented. We also characterize the strong stability of C-stationary points for MPCC, dealing with parametric aspects for MPCCs.