Stability Analysis for Parameterized Variational Systems with Implicit Constraints

0506147 - ÚTIA 2021 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA17-08182S
Institucionální podpora: RVO:67985556
Klíčová slova: Parameterized variational system * Solution map * Aubin property * Isolated calmness property
Obor OECD: Pure mathematics
Impakt faktor: 1.783, rok: 2020
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0297408