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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00463357" target="_blank" >RIV/67985556:_____/16:00463357 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1287/moor.2016.0789" target="_blank" >http://dx.doi.org/10.1287/moor.2016.0789</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1287/moor.2016.0789" target="_blank" >10.1287/moor.2016.0789</a>

Result language
angličtina
Original language name
On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP402%2F12%2F1309" target="_blank" >GAP402/12/1309: A Multivalued Approach to Optima and Equilibria in Economics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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