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Optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints

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    0392856 - ÚTIA 2014 NL eng J - Journal Article
    Flegel, M. L. - Kanzow, Ch. - Outrata, Jiří
    Optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints.
    Set-Valued Analysis. Roč. 15, č. 2 (2007), s. 139-162. ISSN 0927-6947
    R&D Projects: GA AV ČR IAA1075402
    Institutional research plan: CEZ:AV0Z10750506
    Keywords : disjunctive programs * mathematical programs with equilibrium * Guignard constraint qualification
    Subject RIV: BA - General Mathematics
    Impact factor: 0.675, year: 2007
    http://library.utia.cas.cz/separaty/2007/mtr/outrata-optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints.pdf

    We consider optimization problems with a disjunctive structure of the feasible set. Using Guignard-type constraint qualifications for these optimization problems and exploiting some results for the limiting normal cone by Mordukhovich, we derive different optimality conditions. Furthermore, we specialize these results to mathematical programs with equilibrium constraints. In particular, we show that a new constraint qualification, weaker than any other constraint qualification used in the literature, is enough in order to show that a local minimum results in a so-called M-stationary point. Additional assumptions are also discussed which guarantee that such an M-stationary point is in fact a strongly stationary point.
    Permanent Link: http://hdl.handle.net/11104/0221626
     
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