On $ell$--stable mappings with values in infinite dimensional Banach spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F10%3A10212089" target="_blank" >RIV/61989592:15310/10:10212089 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On $ell$--stable mappings with values in infinite dimensional Banach spaces
Original language description
The aim of the paper is to collect some results concerning $ell$--stability of mappings with values in possibly infinite-dimensional Banach spaces. We show that any $ell$--stable function from finite-dimensional space to an arbitrary Banach space is Lipschitz near the reference point. Further, we show that any $ell$--stable function from finite-dimensional space to a Banach space having Radon--Nikod'ym property is strictly differentiable at the reference point. As an application we present the second-order sufficient condition for the unconstrained optimization problem previously obtained for finite-dimensional range space.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis, Theory, Methods & Applications
ISSN
0362-546X
e-ISSN
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Volume of the periodical
72
Issue of the periodical within the volume
3-4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
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UT code for WoS article
000273188500007
EID of the result in the Scopus database
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