On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications

0463357 - ÚTIA 2017 RIV US eng J - Článek v odborném periodiku
Gfrerer, H. - Outrata, Jiří
On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications.
Mathematics of Operations Research. Roč. 41, č. 4 (2016), s. 1535-1556. ISSN 0364-765X. E-ISSN 1526-5471
Grant CEP: GA ČR GAP402/12/1309
Institucionální podpora: RVO:67985556
Klíčová slova: parameterized generalized equation * graphical derivative * regular coderivative * mathematical program with equilibrium constraints
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.157, rok: 2016
http://library.utia.cas.cz/separaty/2016/MTR/outrata-0463357.pdf

The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the normal-cone mapping related to C2 inequality constraints under very weak qualification conditions. This enables us to provide the graphical derivative and the regular coderivative of the solution map to a class of parameterized generalized equations with the constraint set of the investigated type. On the basis of these results, we finally obtain a characterization of the isolated calmness property of the mentioned solution map and derive strong stationarity conditions for an MPEC with control constraints.
Trvalý link: http://hdl.handle.net/11104/0262562