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Optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints
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SYSNO ASEP 0392856 Druh ASEP J - Článek v odborném periodiku Zařazení RIV Záznam nebyl označen do RIV Poddruh J Článek ve WOS Název Optimality conditions for disjunctive programs with applications to mathematical programs with equilibrium constraints Tvůrce(i) Flegel, M. L. (DE)
Kanzow, Ch. (DE)
Outrata, Jiří (UTIA-B) RID, ORCIDZdroj.dok. Set-Valued Analysis - ISSN 0927-6947
Roč. 15, č. 2 (2007), s. 139-162Poč.str. 24 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova disjunctive programs ; mathematical programs with equilibrium ; Guignard constraint qualification Vědní obor RIV BA - Obecná matematika CEP IAA1075402 GA AV ČR - Akademie věd CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000246185600003 DOI 10.1007/s11228-006-0033-5 Anotace 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. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2014
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