0392735 20240103202610.020130613235959.9 000326705900009 10.1007/s10957-012-0147-x 19 s. P cav_un_epca*02570610022-32391593 (2013)681-697Springer Parameterized generalized equation Regular and limiting coderivative Constant rank CQ Mathematical program with equilibrium constraints 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*0262191 Kruger A.Y. AU http://library.utia.cas.cz/separaty/2013/MTR/outrata-some remarks on stability of generalized equations.pdf IAA100750802 GA AV ČR cav_un_auth*0241214 GAP201/12/0671 GA ČR CZ cav_un_auth*0289475 The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian–Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided. 2014 BA 3 RVO:67985556 http://hdl.handle.net/11104/0221806 MATHEMATICSAPPLIED|OPERATIONSRESEARCHMANAGEMENTSCIENCE 1.396 0.402 >10.0 0.00902 0.685 4629 199 0.928 ScienceCitationIndex Q1 58.276 74.762 Q2 Q2 2013 000326705900009 WOS cav_un_epca*0257061 Journal of Optimization Theory and Applications 0022-3239 1573-2878 Roč. 159 č. 3 2013 681 697 Springer