0392856 - ÚTIA 2014 NL eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA1075402
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: disjunctive programs * mathematical programs with equilibrium * Guignard constraint qualification
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.675, rok: 2007 ; AIS: 0.831, rok: 2007
Web výsledku:
http://library.utia.cas.cz/separaty/2007/mtr/outrata-optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints.pdf

DOI: https://doi.org/10.1007/s11228-006-0033-5

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.
Trvalý link: http://hdl.handle.net/11104/0221626