caa a22 4500 463206126 CHVBK 20180405153126.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11228-006-0033-5 doi (NATIONALLICENCE)springer-10.1007/s11228-006-0033-5 Optimality Conditions for Disjunctive Programs with Application to Mathematical Programs with Equilibrium Constraints [Elektronische Daten] [Michael Flegel, Christian Kanzow, Jiří Outrata] 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. Springer Science + Business Media B.V., 2006 disjunctive programs nationallicence mathematical programs with equilibrium constraints nationallicence M-stationarity nationallicence strong stationarity nationallicence Guignard constraint qualification nationallicence Flegel Michael Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut Kanzow Christian Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut Outrata Jiří Academy of Sciences, Institute of Information Theory and Automation, 18208, Prague, Czech Republic aut Set-Valued Analysis Kluwer Academic Publishers 15/2(2007-06-01), 139-162 0927-6947 15:2<139 2007 15 11228 https://doi.org/10.1007/s11228-006-0033-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11228-006-0033-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Flegel Michael Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut NATIONALLICENCE 700 1- Kanzow Christian Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut NATIONALLICENCE 700 1- Outrata Jiří Academy of Sciences, Institute of Information Theory and Automation, 18208, Prague, Czech Republic aut NATIONALLICENCE 773 0- Set-Valued Analysis Kluwer Academic Publishers 15/2(2007-06-01), 139-162 0927-6947 15:2<139 2007 15 11228 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer