Number of the records: 1  

On the Aubin property of solution maps to parameterized variational systems with implicit constraints

  1. 1.
    SYSNO ASEP0509759
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn the Aubin property of solution maps to parameterized variational systems with implicit constraints
    Author(s) Gfrerer, H. (AT)
    Outrata, Jiří (UTIA-B) RID
    Source TitleOptimization. - : Taylor & Francis - ISSN 0233-1934
    Roč. 69, 7-8 (2020), s. 1681-1701
    Number of pages21 s.
    Publication formPrint - P
    Languageeng - English
    CountryDE - Germany
    Keywordssolution map ; parameterized variational system ; Aubin property ; directional limiting coderivative
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA17-04301S GA ČR - Czech Science Foundation (CSF)
    Method of publishingOpen access
    Institutional supportUTIA-B - RVO:67985556
    UT WOS000484384600001
    EID SCOPUS85071295281
    DOI10.1080/02331934.2019.1657427
    AnnotationIn the paper, a new sufficient condition for the Aubin property to a class of parameterized variational systems is derived. In these systems, the constraints depend both on the parameter as well as on the decision variable itself and they include, e.g. parameter-dependent quasi-variational inequalities and implicit complementarity problems. The result is based on a general condition ensuring the Aubin property of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative. Our final condition can be verified, however, without an explicit computation of these coderivatives. The procedure is illustrated by an example.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Year of Publishing2021
    Electronic addresshttps://www.tandfonline.com/doi/full/10.1080/02331934.2019.1657427
Number of the records: 1  

  This site uses cookies to make them easier to browse. Learn more about how we use cookies.