On the Stability of the Directional Regularity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43959197" target="_blank" >RIV/49777513:23520/20:43959197 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11228-019-00507-2" target="_blank" >https://doi.org/10.1007/s11228-019-00507-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11228-019-00507-2" target="_blank" >10.1007/s11228-019-00507-2</a>
Alternative languages
Result language
angličtina
Original language name
On the Stability of the Directional Regularity
Original language description
IIn this paper we select two tools of investigation of the classical metric regularity of set-valued mappings, namely the Ioffe criterion and the Ekeland Variational Principle, which we adapt to the study of the directional setting. In this way, we obtain in a unitary manner new necessary and/or sufficient conditions for directional metric regularity. As an application, we establish stability of this property at composition and sum of set-valued mappings. In this process, we introduce directional tangent cones and the associated generalized primal differentiation objects and concepts. Moreover, we underline several links between our main assertions by providing alternative proofs for several results.
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/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>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
Set-Valued and Variational Analysis: theory and applications
ISSN
1877-0533
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
29
Pages from-to
209-237
UT code for WoS article
000533785600001
EID of the result in the Scopus database
2-s2.0-85062966638