Počet záznamů: 1
On the Aubin property of solution maps to parameterized variational systems with implicit constraints
- 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