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
OECD category: Pure mathematics
Impact factor: 1.783, year: 2020
Method of publishing: Limited access
Result website:
http://library.utia.cas.cz/separaty/2019/MTR/outrata-0506147.pdf https://link.springer.com/article/10.1007/s11228-019-00516-1
DOI: https://doi.org/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