0340268 20240103193227.620100308235959.9 18 s. cav_un_epca*02525950324-8569381557-1574 mathematical problem with equilibrium constraint state constraints implicit programming calmness exact penalization 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*0220207 Červinka Michal 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. http://library.utia.cas.cz/separaty/2010/MTR/outrata-on the implicit programming approach in a class of mathematical programs with equilibrium constraints.pdf GA201/09/1957 GA ČR cav_un_auth*0253042 CEZ:AV0Z10750506 In the paper we analyze the influence of implicit programming hypothesis and presence of state constraints on first order optimality conditions to mathematical programs with equilibrium constraints. In the absence of state constraints, we derive sharp stationarity conditions, provided the strong regularity condition holds. In the second part of the paper we suggest an exact penalization of state constraints and test the behavior of standard bundle trust region algorithm on academic examples 2010 BA http://hdl.handle.net/11104/0183548 0.560 0 9 0.00128 0.255 415 14 23 0.301 22.43 0.46 2009 cav_un_epca*0252595 Control and Cybernetics 0324-8569 Roč. 38 4B 2009 1557 1574