A nonsmooth variant of the Mangasarian-Fromovitz constraint qualification |
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| Authors: | L Kuntz S Scholtes |
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| Institution: | (1) Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Karlsruhe, Germany |
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| Abstract: | A unified view on constraint qualifications for nonsmooth equality and inequality constrained programs is presented. A fairly general constraint qualification for programs involving B-differential functions is given. Further specification to piecewise differentiable equality constraints and locally Lipschitz continuous inequality constraints yields a nonsmooth version of the Mangasarian-Fromovitz constraint qualification.This work was supported by the Deutsche Forschungsgemeinschaft, DFG-Grant No. Pa 219/5-1. |
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| Keywords: | Nonsmooth programming constraint qualifications B-differentiable functions necessary optimality conditions piecewise differentiable functions |
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