On the generalized Jacobian of the inverse of a Lipschitzian mapping
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00566016" target="_blank" >RIV/67985840:_____/22:00566016 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11228-022-00640-5" target="_blank" >https://doi.org/10.1007/s11228-022-00640-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11228-022-00640-5" target="_blank" >10.1007/s11228-022-00640-5</a>
Alternative languages
Result language
angličtina
Original language name
On the generalized Jacobian of the inverse of a Lipschitzian mapping
Original language description
The objective of this short note is to provide an estimate of the generalized Jacobian of the inverse of a Lipschitzian mapping when Clarke’s inverse function theorem applies. Contrary to the classical C^1 case, inverting matrices of the generalized Jacobian is not enough. Simple counterexamples show that our results are sharp.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Set-Valued and Variational Analysis
ISSN
1877-0533
e-ISSN
1877-0541
Volume of the periodical
30
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
9
Pages from-to
1443-1451
UT code for WoS article
000791638800001
EID of the result in the Scopus database
2-s2.0-85129506096