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Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints

The result's identifiers

  • 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>

Alternative languages

  • 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

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Set-Valued and Variational Analysis

  • ISSN

    1877-0533

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    18

  • Pages from-to

    687-704

  • UT code for WoS article

    000365768100008

  • EID of the result in the Scopus database

    2-s2.0-84958546349