Some Remarks on Stability of Generalized Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00392735" target="_blank" >RIV/67985556:_____/13:00392735 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10957-012-0147-x" target="_blank" >http://dx.doi.org/10.1007/s10957-012-0147-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10957-012-0147-x" target="_blank" >10.1007/s10957-012-0147-x</a>

Result language
angličtina
Original language name
Some Remarks on Stability of Generalized Equations
Original language description
The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the solution map to a class of generalized equations, where the multivalued term amounts to the regular normal cone to a (possibly nonconvex) set given by C2 inequalities. Instead of the linear independence qualification condition, standardly used in this context, one assumes a combination of the Mangasarian?Fromovitz and the constant rank qualification conditions. Based on the obtained generalized derivatives, new optimality conditions for a class of mathematical programs with equilibrium constraints are derived, and a workable characterization of the isolated calmness of the considered solution map is provided.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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