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On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
- 1.0463357 - ÚTIA 2017 RIV US eng J - Journal Article
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
R&D Projects: GA ČR GAP402/12/1309
Institutional support: RVO:67985556
Keywords : parameterized generalized equation * graphical derivative * regular coderivative * mathematical program with equilibrium constraints
Subject RIV: BA - General Mathematics
Impact factor: 1.157, year: 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.
Permanent Link: http://hdl.handle.net/11104/0262562
Number of the records: 1