Constraint Qualifications for Nonsmooth Mathematical Programs with Equilibrium Constraints |
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Authors: | N. Movahedian S. Nobakhtian |
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Affiliation: | (1) Department of Mathematics, University of Isfahan, P. O. Box 81745-163, Isfahan, Iran |
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Abstract: | We study nonsmooth mathematical programs with equilibrium constraints. First we consider a general disjunctive program which embeds a large class of problems with equilibrium constraints. Then, we establish several constraint qualifications for these optimization problems. In particular, we generalize the Abadie and Guignard-type constraint qualifications. Subsequently, we specialize these results to mathematical program with equilibrium constraints. In our investigation, we show that a local minimum results in a so-called M-stationary point under a very weak constraint qualification. |
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Keywords: | Mathematical programs with equilibrium constraints Necessary optimality conditions Constraint qualification Nonsmooth analysis |
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