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Coderivative Analysis of Quasi-Variational Inequalities with Applications to Stability and Optimization

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F07%3A00083426" target="_blank" >RIV/67985556:_____/07:00083426 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Coderivative Analysis of Quasi-Variational Inequalities with Applications to Stability and Optimization

  • Original language description

    We study equilibrium models governed by parameter-dependent variational inequalities. The main tools of our variational analysis involve coderivatives of the so-called solution maps, which allow us to obtain efficient conditions for robust Lipschitzian stability of quasi-variational inequalities and also to derive new necessary optimality conditions for mathematical programs with quasi-variational constraints.

  • Czech name

    Analýza kvazivariačních nerovností pomocí koderivací; aplikace na stabilitu a optimalizaci

  • Czech description

    V článku jsou analyzovány rovnovážné modely popsané kvazivariačními nerovnostmi. Hlavním nástrojem naší variační analýzy jsou koderivace zobrazení, které přiřazuje parametru příslušnou množinu ekvilibrií. To umožňuje získat podmínky pro robustní lipschitzovskou stabilitu a odvodit nové nutné podmínky optimality pro optimalizační úlohy s kvazivariačními omezeními.

Classification

  • Type

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

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1075402" target="_blank" >IAA1075402: Variational analysis in nonsmooth problems of mathematical physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    SIAM Journal on Optimization

  • ISSN

    1052-6234

  • e-ISSN

  • Volume of the periodical

    18

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    24

  • Pages from-to

    389-412

  • UT code for WoS article

  • EID of the result in the Scopus database