0461163 20240103212424.420160722235959.9 84946600068 000372835900003 10.1080/02331934.2015.1107560 12 s. P cav_un_epca*02582180233-1934655 (2016)1049-1060Taylor & Francis parameter-dependent mathematical programs with generalized equilibrium constraints M-stationarity C-stationarity isolated calmness Aubin property cav_un_auth*0220207 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Červinka Michal UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/cervinka-0461163.pdf cav_un_auth*0284931 GAP402/12/1309 GA ČR We consider parameter-dependent mathematical programs with constraints governed by the generalized non-linear complementarity problem and with additional non-equilibrial constraints. We study a local behaviour of stationarity maps that assign the respective C- or M-stationarity points of the problem to the parameter. Using generalized differential calculus rules, we provide criteria for the isolated calmness and the Aubin properties of stationarity maps considered. To this end, we derive and apply formulas of some particular objects of the third- order variational analysis. BA 2017 1 RVO:67985556 http://hdl.handle.net/11104/0261534 S 3+4 Article Operations Research Management Science|Mathematics Applied MATHEMATICS.APPLIED|OPERATIONSRESEARCH&MANAGEMENTSCIENCE 0.985 0.23 7.9 0.00434 0.572 1316 0.745 Q2 0.825 126 Q2 38.215 38.9 Q3 Q2 51.961 2016 84946600068 SCOPUS 000372835900003 WOS cav_un_epca*0258218 Optimization 0233-1934 1029-4945 Roč. 65 č. 5 2016 1049 1060 Taylor & Francis