On the Isolated Calmness Property of Implicitly Defined Multifunctions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00574144" target="_blank" >RIV/67985556:_____/23:00574144 - isvavai.cz</a>
Result on the web
<a href="https://www.heldermann.de/JCA/JCA30/JCA303/jca30046.htm" target="_blank" >https://www.heldermann.de/JCA/JCA30/JCA303/jca30046.htm</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the Isolated Calmness Property of Implicitly Defined Multifunctions
Original language description
The paper deals with an extension of the available theory of SCD (subspace containing derivatives) mappings to mappings between spaces of different dimensions. This extension enables us to derive workable sufficient conditions for the isolated calmness of implicitly defined multifunctions around given reference points. This stability property differs substantially from isolated calmness at a point and, possibly in conjunction with the Aubin property, offers a new useful stability concept. The application area includes a broad class of parameterized generalized equations, where the respective conditions ensure a rather strong type of Lipschitzian behavior of their solution maps.
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/GF21-06569K" target="_blank" >GF21-06569K: Scales and shapes in continuum thermomechanics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Convex Analysis
ISSN
0944-6532
e-ISSN
0944-6532
Volume of the periodical
30
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
23
Pages from-to
1001-1023
UT code for WoS article
001115506800011
EID of the result in the Scopus database
2-s2.0-85178353360