0343961 20240903170621.320100617235959.9 000280425000008 12 s. www cav_un_epca*02971630023-5954463 (2010)423-434Ústav teorie informace a automatizace AV ČR, v. v. i. mathematical programs with equilibrium constraints S-stationary points M-stationary points Frechet normal cone limiting normal cone cav_un_auth*0101173 Outrata Jiří Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0015558 Henrion R. DE cav_un_auth*0240271 Surowiec T. DE pdf http://library.utia.cas.cz/separaty/2010/MTR/outrata-a note on the relation between strong and m-stationarity for a class of mathematical programs with equilibrium constraints.pdf IAA100750802 GA AV ČR cav_un_auth*0241214 CEZ:AV0Z10750506 In this paper, we deal with strong stationarity conditions for mathematical programs with equilibrium constraints (MPEC). The main task in deriving these conditions consists in calculating the Fr´echet normal cone to the graph of the solution mapping associated with the underlying generalized equation of the MPEC. We derive an inner approximation to this cone, which is exact under an additional assumption. Even if the latter fails to hold, the inner approximation can be used to check strong stationarity via the weaker (but easier to calculate) concept of M-stationarity. 2011 BA 4 O 4o 20231122134052.2 http://hdl.handle.net/11104/0186313 COMPUTERSCIENCECYBERNETICS 0.562 0.219 8.1 0.00125 0.22 463 73 21 0.323 20.57 0.48 Q2 27.15 23.684 Q3 Q2 2010 Soubory v repozitáři: 0343961.pdf 000280425000008 WOS pdf cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 46 č. 3 2010 423 434 Ústav teorie informace a automatizace AV ČR, v. v. i.