Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00449259" target="_blank" >RIV/67985556:_____/15:00449259 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11228-015-0328-5" target="_blank" >http://dx.doi.org/10.1007/s11228-015-0328-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11228-015-0328-5" target="_blank" >10.1007/s11228-015-0328-5</a>

Result language
angličtina
Original language name
Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints
Original language description
The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal is to derive a precise pointwise second-order formula for calculating thegraphical derivative of the solution maps to such generalized equations that involves Lagrange multipliers of the corresponding KKT systems and critical cone directions. Then we apply the obtained formula to characterizing a Lipschitzian stability notionfor the solution maps that is known as isolated calmness.
Czech name
—
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
—

Project
<a href="/en/project/GAP201%2F12%2F0671" target="_blank" >GAP201/12/0671: Variational and numerical analysis in nonsmooth continuum mechanics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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