Mathematical programs with vanishing constraints: critical point theory

We study mathematical programs with vanishing constraints (MPVCs) from a topological point of view. We introduce the new concept of a T-stationary point for MPVC. Under the Linear Independence Constraint Qualification we derive an equivariant Morse Lemma at nondegenerate T-stationary points. Then, t...

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Veröffentlicht in:	Journal of global optimization 2012-03, Vol.52 (3), p.591-605
Hauptverfasser:	Dorsch, Dominik, Shikhman, Vladimir, Stein, Oliver
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science Equality Mathematical programming Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Real Functions Regularization methods Studies
Online-Zugang:	Volltext
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