Počet záznamů: 1  

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

  1. 1.
    0509759 - ÚTIA 2021 RIV DE eng J - Článek v odborném periodiku
    Gfrerer, H. - Outrata, Jiří
    On the Aubin property of solution maps to parameterized variational systems with implicit constraints.
    Optimization. Roč. 69, 7-8 (2020), s. 1681-1701. ISSN 0233-1934. E-ISSN 1029-4945
    Grant CEP: GA ČR GA17-04301S
    Institucionální podpora: RVO:67985556
    Klíčová slova: solution map * parameterized variational system * Aubin property * directional limiting coderivative
    Obor OECD: Pure mathematics
    Impakt faktor: 2.360, rok: 2020
    Způsob publikování: Open access
    http://library.utia.cas.cz/separaty/2019/MTR/outrata-0509759.pdf https://www.tandfonline.com/doi/full/10.1080/02331934.2019.1657427

    In 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.
    Trvalý link: http://hdl.handle.net/11104/0300390

     
     
Počet záznamů: 1  

  Tyto stránky využívají soubory cookies, které usnadňují jejich prohlížení. Další informace o tom jak používáme cookies.