0479519 20240103214705.920171013235959.9 85021295338 000423125800002 10.1007/s00186-017-0596-y 25 s. P cav_un_epca*02542751432-2994863 (2017)443-467Springer Aubin property Graphical derivative Directional limiting coderivative cav_un_auth*0319636 Gfrerer H. AT 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. http://library.utia.cas.cz/separaty/2017/MTR/outrata-0479519.pdf cav_un_auth*0321507 GA15-00735S GA ČR The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class encompasses various types of parameterized variational inequalities/generalized equations with fairly general constraint sets. The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions. The respective formulas have the form of a second-order chain rule and extend the available calculus of directional limiting objects. The suggested procedure is illustrated by means of examples. BA 10000 10100 10102 2018 RVO:67985556 http://hdl.handle.net/11104/0275510 S 1 Article|Proceedings Paper Operations Research Management Science|Mathematics Applied 1 Article|Proceedings Paper Operations Research Management Science|Mathematics Applied 1 Article|Proceedings Paper Operations Research Management Science|Mathematics Applied MATHEMATICS.APPLIED|OPERATIONSRESEARCH&MANAGEMENTSCIENCE 0.956 0.234 10.9 0.00158 0.629 931 0.688 0.800 47 Q3 42.258 27.4 Q3 Q2 0.49 Q3 37.5 2017 85021295338 SCOPUS PUBMED 000423125800002 WOS cav_un_epca*0254275 Mathematical Methods of Operations Research 1432-2994 1432-5217 Roč. 86 č. 3 2017 443 467 Springer