On the Aubin property of solution maps to parameterized variational systems with implicit constraints
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00509759" target="_blank" >RIV/67985556:_____/20:00509759 - isvavai.cz</a>
Result on the web
<a href="https://www.tandfonline.com/doi/full/10.1080/02331934.2019.1657427" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/02331934.2019.1657427</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/02331934.2019.1657427" target="_blank" >10.1080/02331934.2019.1657427</a>
Alternative languages
Result language
angličtina
Original language name
On the Aubin property of solution maps to parameterized variational systems with implicit constraints
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-04301S" target="_blank" >GA17-04301S: Advanced mathematical methods for dissipative evolutionary systems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Optimization
ISSN
0233-1934
e-ISSN
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Volume of the periodical
69
Issue of the periodical within the volume
7-8
Country of publishing house
DE - GERMANY
Number of pages
21
Pages from-to
1681-1701
UT code for WoS article
000484384600001
EID of the result in the Scopus database
2-s2.0-85071295281