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Bibliografie

Journal Article

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

Gfrerer H., Outrata Jiří

: 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

: 10.1287/moor.2016.0789

: 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

07.01.2019 - 08:39