On primal regularity estimates for single-valued mappings
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447033" target="_blank" >RIV/67985840:_____/15:00447033 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/15:43926854
Result on the web
<a href="http://dx.doi.org/10.1007/s11784-015-0240-5" target="_blank" >http://dx.doi.org/10.1007/s11784-015-0240-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11784-015-0240-5" target="_blank" >10.1007/s11784-015-0240-5</a>
Alternative languages
Result language
angličtina
Original language name
On primal regularity estimates for single-valued mappings
Original language description
Based on a primal regularity criterion we provide lower bounds for the regularity modulus of a nonlinear single-valued mapping F from a Banach space X into another Banach space Y . We focus on the case when F is defined on a proper (closed convex) subsetof X only rather than on the whole of X. Three possible ways of approximating F around the reference point are considered. First, we use a tangential approximation by set-valued mappings associated with the Bouligand?s tangent cone to the graph of F. Then we move on to approximations by positively homogeneous set-valued mappings whose graphs contain the graph of F, for example, by the strict prederivative. Finally, we use an approximation by bunches of continuous linear operators. In the first two cases finding approximating objects is relatively easy while in the third case the approximating object is very convenient to work with.
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
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
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Fixed Point Theory and Applications
ISSN
1661-7738
e-ISSN
—
Volume of the periodical
17
Issue of the periodical within the volume
1
Country of publishing house
CH - SWITZERLAND
Number of pages
22
Pages from-to
187-208
UT code for WoS article
000360697300012
EID of the result in the Scopus database
2-s2.0-84940889390