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On the Aubin property of solution maps to parameterized variational systems with implicit constraints
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SYSNO ASEP 0509759 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the Aubin property of solution maps to parameterized variational systems with implicit constraints Author(s) Gfrerer, H. (AT)
Outrata, Jiří (UTIA-B) RIDSource Title Optimization. - : Taylor & Francis - ISSN 0233-1934
Roč. 69, 7-8 (2020), s. 1681-1701Number of pages 21 s. Publication form Print - P Language eng - English Country DE - Germany Keywords solution map ; parameterized variational system ; Aubin property ; directional limiting coderivative Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA17-04301S GA ČR - Czech Science Foundation (CSF) Method of publishing Open access Institutional support UTIA-B - RVO:67985556 UT WOS 000484384600001 EID SCOPUS 85071295281 DOI 10.1080/02331934.2019.1657427 Annotation 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. 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://www.tandfonline.com/doi/full/10.1080/02331934.2019.1657427
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