On the Aubin property of a class of parameterized variational systems

0479519 - ÚTIA 2018 RIV DE eng J - Journal Article
Gfrerer, H. - Outrata, Jiří
On the Aubin property of a class of parameterized variational systems.
Mathematical Methods of Operations Research. Roč. 86, č. 3 (2017), s. 443-467. ISSN 1432-2994. E-ISSN 1432-5217
R&D Projects: GA ČR GA15-00735S
Institutional support: RVO:67985556
Keywords : Aubin property * Graphical derivative * Directional limiting coderivative
OECD category: Applied mathematics
Impact factor: 0.843, year: 2017
http://library.utia.cas.cz/separaty/2017/MTR/outrata-0479519.pdf

The paper deals with a new sharp condition ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class encompasses various types of parameterized variational inequalities/generalized equations with fairly general constraint sets. The new condition requires computation of directional limiting coderivatives of the normal-cone mapping for the so-called critical directions. The respective formulas have the form of a second-order chain rule and extend the available calculus of directional limiting objects. The suggested procedure is illustrated by means of examples.
Permanent Link: http://hdl.handle.net/11104/0275510