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Stability Analysis for Parameterized Variational Systems with Implicit Constraints

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    0506147 - ÚTIA 2021 RIV NL eng J - Journal Article
    Benko, M. - Gfrerer, H. - Outrata, Jiří
    Stability Analysis for Parameterized Variational Systems with Implicit Constraints.
    Set-Valued and Variational Analysis. Roč. 28, č. 1 (2020), s. 167-193. ISSN 1877-0533. E-ISSN 1877-0541
    R&D Projects: GA ČR GA17-08182S
    Institutional support: RVO:67985556
    Keywords : Parameterized variational system * Solution map * Aubin property * Isolated calmness property
    Subject RIV: BA - General Mathematics
    OBOR OECD: Pure mathematics
    Impact factor: 1.783, year: 2020
    Method of publishing: Limited access
    http://library.utia.cas.cz/separaty/2019/MTR/outrata-0506147.pdf https://link.springer.com/article/10.1007/s11228-019-00516-1

    In 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.
    Permanent Link: http://hdl.handle.net/11104/0297408

     
     
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