Bibliografie
Journal Article
On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
,
: Mathematics of Operations Research vol.41, 4 (2016), p. 1535-1556
: GAP402/12/1309, GA ČR
: parameterized generalized equation, graphical derivative, regular coderivative, mathematical program with equilibrium constraints
: http://library.utia.cas.cz/separaty/2016/MTR/outrata-0463357.pdf
(eng): 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.
: BA