Function spaces with the Matkowski property and degeneracy phenomena for composition operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00373155" target="_blank" >RIV/67985840:_____/11:00373155 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Function spaces with the Matkowski property and degeneracy phenomena for composition operators
Original language description
We give a condition, both necessary and sufficient, on a function f : R -> R under which the nonlinear composition operator F defined by Fx(t) = f (x(t)) satisfies a local Lipschitz condition in the norm of the function spaces C(1) ([a, b]), C(0,alpha) ([a, b]), Lip([a,b]), and BV([a,b]). In contrast to global Lipschitz conditions, this does not lead to a strong degeneracy of the generating function f, which is important to apply fixed point theorems.
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
<a href="/en/project/IAA100190805" target="_blank" >IAA100190805: Bifurcation and parameter dependence for unilateral boundary value problems and interpretation in natural sciences</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Fixed point theory : An international journal on fixed point theory, computation and applications
ISSN
1583-5022
e-ISSN
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Volume of the periodical
12
Issue of the periodical within the volume
2
Country of publishing house
RO - ROMANIA
Number of pages
20
Pages from-to
265-284
UT code for WoS article
000296998800005
EID of the result in the Scopus database
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