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Stability Analysis for Parameterized Variational Systems with Implicit Constraints

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    SYSNO ASEP0506147
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleStability Analysis for Parameterized Variational Systems with Implicit Constraints
    Author(s) Benko, M. (SK)
    Gfrerer, H. (AT)
    Outrata, Jiří (UTIA-B) RID
    Source TitleSet-Valued and Variational Analysis. - : Springer - ISSN 1877-0533
    Roč. 28, č. 1 (2020), s. 167-193
    Number of pages27 s.
    Publication formPrint - P
    Languageeng - English
    CountryNL - Netherlands
    KeywordsParameterized variational system ; Solution map ; Aubin property ; Isolated calmness property
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA17-08182S GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportUTIA-B - RVO:67985556
    UT WOS000519659600009
    EID SCOPUS85068858697
    AnnotationIn the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems include, e.g., quasi-variational inequalities and implicit complementarity problems. Concerning the Aubin property, possible restrictions imposed on the parameter are also admitted. Throughout the paper, tools from the directional limiting generalized differential calculus are employed enabling us to impose only rather weak (non- restrictive) qualification conditions. Despite the very general problem setting, the resulting conditions are workable as documented by some academic examples.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová,, Tel.: 266 052 201.
    Year of Publishing2021
    Electronic address
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