On l-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%2F62690094%3A18470%2F10%3A00003358" target="_blank" >RIV/62690094:18470/10:00003358 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
On l-stable mappings with values in infinite-dimensional Banach spaces
Original language description
The aim of the paper is to collect some results concerning l-stability of mappings with values in possibly infinite-dimensional Banach spaces. We show that any l-stable function from finite-dimensional space to an arbitrary Banach space is Lipschitz nearthe reference point. Further, we show that any l-stable function from finite-dimensional space to a Banach space having Radon-Nikodym 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
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
—
Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
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 and applications
ISSN
0362-546X
e-ISSN
—
Volume of the periodical
72
Issue of the periodical within the volume
3-4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
12
Pages from-to
—
UT code for WoS article
000273188500007
EID of the result in the Scopus database
—