On primal regularity estimates for set-valued mappings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00457159" target="_blank" >RIV/67985840:_____/16:00457159 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/16:43928629
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.02.016" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2016.02.016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.02.016" target="_blank" >10.1016/j.jmaa.2016.02.016</a>

Result language
angličtina
Original language name
On primal regularity estimates for set-valued mappings
Original language description
We prove several generalizations of the results in [6] for set-valued mappings. In some cases, we improve also the statements for single-valued mappings. Linear openness of the set-valued mapping in question is deduced from the properties of its suitableapproximation. This approach goes back to the classical Lyusternik?Graves theorem saying that a continuously differentiable single-valued mapping between Banach spaces is linearly open around an interior point of its domain provided that its derivativeat this point is surjective. In this paper, we consider approximations given by a graphical derivative, a contingent variation, a strict pseudo H-derivative, and a bunch of linear mappings.
Czech name
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Czech description
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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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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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