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Stability Analysis for Parameterized Variational Systems with Implicit Constraints

SYSNO ASEP	0506147
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Stability Analysis for Parameterized Variational Systems with Implicit Constraints
Author(s)	Benko, M. (SK) Gfrerer, H. (AT) Outrata, Jiří (UTIA-B)_{RID, ORCID}
Source Title	Set-Valued and Variational Analysis. - : Springer - ISSN 1877-0533 Roč. 28, č. 1 (2020), s. 167-193
Number of pages	27 s.
Publication form	Print - P
Language	eng - English
Country	NL - Netherlands
Keywords	Parameterized variational system ; Solution map ; Aubin property ; Isolated calmness property
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA17-08182S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Limited access
Institutional support	UTIA-B - RVO:67985556
UT WOS	000519659600009
EID SCOPUS	85068858697
DOI	10.1007/s11228-019-00516-1
Annotation	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.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2021
Electronic address	https://link.springer.com/article/10.1007/s11228-019-00516-1

Number of the records: 1