On the Aubin property of a class of parameterized variational systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F17%3A00479519" target="_blank" >RIV/67985556:_____/17:00479519 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00186-017-0596-y" target="_blank" >http://dx.doi.org/10.1007/s00186-017-0596-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00186-017-0596-y" target="_blank" >10.1007/s00186-017-0596-y</a>

Result language
angličtina
Original language name
On the Aubin property of a class of parameterized variational systems
Original language description
The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class encompasses various types of parameterized variational inequalities/generalized equations with fairly general constraint sets. The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions. The respective formulas have the form of a second-order chain rule and extend the available calculus of directional limiting objects. The suggested procedure is illustrated by means of examples.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of optima and equilibria in economics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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