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On Stability of M-stationary Points in MPCCs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00431296" target="_blank" >RIV/67985556:_____/14:00431296 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11230/14:10295824

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s11228-014-0278-3" target="_blank" >http://dx.doi.org/10.1007/s11228-014-0278-3</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11228-014-0278-3" target="_blank" >10.1007/s11228-014-0278-3</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Stability of M-stationary Points in MPCCs

  • Original language description

    We consider parameterized Mathematical Programs with Complementarity Constraints arising, e.g., in modeling of deregulated electricity markets. Using the standard rules of the generalized differential calculus we analyze qualitative stability of solutions to the respective M-stationarity conditions. In particular, we provide characterizations and criteria for the isolated calmness and the Aubin properties of the stationarity map. To this end, we introduce the second-order limiting coderivative of mappings and provide formulas for this notion and for the graphical derivative of the limiting coderivative in the case of the normal cone mapping to Rn+.

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • 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

    22

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    21

  • Pages from-to

    575-595

  • UT code for WoS article

    000341424500003

  • EID of the result in the Scopus database