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A note on stability of stationary points in mathematical programs with generalized complementarity constraints

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00461163" target="_blank" >RIV/67985556:_____/16:00461163 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1080/02331934.2015.1107560" target="_blank" >http://dx.doi.org/10.1080/02331934.2015.1107560</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1080/02331934.2015.1107560" target="_blank" >10.1080/02331934.2015.1107560</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A note on stability of stationary points in mathematical programs with generalized complementarity constraints

  • Original language description

    We consider parameter-dependent mathematical programs with constraints governed by the generalized non-linear complementarity problem and with additional non-equilibrial constraints. We study a local behaviour of stationarity maps that assign the respective C- or M-stationarity points of the problem to the parameter. Using generalized differential calculus rules, we provide criteria for the isolated calmness and the Aubin properties of stationarity maps considered. To this end, we derive and apply formulas of some particular objects of the third- order variational analysis.

  • 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/GAP402%2F12%2F1309" target="_blank" >GAP402/12/1309: A Multivalued Approach to Optima and Equilibria in Economics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Optimization

  • ISSN

    0233-1934

  • e-ISSN

  • Volume of the periodical

    65

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    12

  • Pages from-to

    1049-1060

  • UT code for WoS article

    000372835900003

  • EID of the result in the Scopus database

    2-s2.0-84946600068