0431296 20240103204556.120140912235959.9 000341424500003 84906727319 10.1007/s11228-014-0278-3 21 s. P cav_un_epca*03439671877-0533223 (2014)575-595Springer Parameterized mathematical programs with complementarity constraints M-stationarity Sensitivity analysis Isolated calmness Aubin property 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. 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*0234872 Pištěk Miroslav 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/2014/MTR/cervinka-0431296.pdf DP110102011 Australian Research Council AU cav_un_auth*0305754 GAP102/11/0437 GA ČR CZ cav_un_auth*0273082 GAP402/12/1309 GA ČR cav_un_auth*0284931 We consider parameterized Mathematical Programs with Complementarity Constraints arising, e.g., in modeling of deregulated electricity markets. Using the standard rules of the generalized differential calculus we analyze qualitative stability of solutions to the respective M-stationarity conditions. In particular, we provide characterizations and criteria for the isolated calmness and the Aubin properties of the stationarity map. To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting coderivative in the case of the normal cone mapping to Rn+. 2015 BA 3 4 A 4a 20231122140411.8 RVO:67985556 http://hdl.handle.net/11104/0236079 S MATHEMATICSAPPLIED 1.116 1.409 Q1 85.826 81.128 Q1 Q1 2014 Soubory v repozitáři: cervinka-0431296.pdf 84906727319 SCOPUS 000341424500003 WOS cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 22 č. 3 2014 575 595 Springer