On essential fixed points of compact mappings on arbitrary absolute neighborhood retracts and their application to multivalued fractals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33160255" target="_blank" >RIV/61989592:15310/16:33160255 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218127416500413" target="_blank" >http://dx.doi.org/10.1142/S0218127416500413</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127416500413" target="_blank" >10.1142/S0218127416500413</a>
Alternative languages
Result language
angličtina
Original language name
On essential fixed points of compact mappings on arbitrary absolute neighborhood retracts and their application to multivalued fractals
Original language description
The existence of essential fixed points is proved for compact self-maps of arbitrary absolute neighbourhood retracts, provided the generalized Lefschetz number is nontrivial and the topological dimension of a fixed point set is equal to zero. Furthermore, continuous self-maps of some special compact absolute neighbourhood retracts, whose Lefschetz number is nontrivial, are shown to possess pseudo-essential fixed points even without the zero dimensionality assumption. Both results are applied to the existence of essential and pseudo-essential multivalued fractals. An illustrative example of this application is supplied.
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
<a href="/en/project/GA14-06958S" target="_blank" >GA14-06958S: Singularities and impulses in boundary value problems for nonlinear ordinary differential equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
ISSN
0218-1274
e-ISSN
—
Volume of the periodical
26
Issue of the periodical within the volume
3
Country of publishing house
SG - SINGAPORE
Number of pages
11
Pages from-to
"1650041-1"-"1650041-11"
UT code for WoS article
000374035600007
EID of the result in the Scopus database
—