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Limiting Normal Operator in Quasiconvex Analysis

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00453552" target="_blank" >RIV/67985556:_____/15:00453552 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s11228-015-0349-0" target="_blank" >http://dx.doi.org/10.1007/s11228-015-0349-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11228-015-0349-0" target="_blank" >10.1007/s11228-015-0349-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Limiting Normal Operator in Quasiconvex Analysis

  • Original language description

    Inspired by similar definition in subdifferential theory, we define limiting sublevel set and limiting normal operator maps for quasiconvex functions. These maps satisfy important properties as semicontinuity and quasimonotonicity. Moreover, calculus rules together with necessary and sufficient optimality conditions for constrained optimization are established.

  • 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/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of optima and equilibria in economics</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

    17

  • Pages from-to

    669-685

  • UT code for WoS article

    000365768100007

  • EID of the result in the Scopus database

    2-s2.0-84958536170