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Note on non-ejective topological fractals on Peano's continua.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33150879" target="_blank" >RIV/61989592:15310/14:33150879 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1142/S021812741450148X" target="_blank" >http://dx.doi.org/10.1142/S021812741450148X</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/S021812741450148X" target="_blank" >10.1142/S021812741450148X</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Note on non-ejective topological fractals on Peano's continua.

  • Original language description

    Under the assumptions of the standard Schauder fixed point theorem in infinite dimension space, Felix Browder recognized in 1965 (Duke Math. J. 32 (1965), 575-578) a weak local stability of fixed points which he called non-ejectivity. In our paper, we proved that non-ejectivity is a topological property and, moreover, that it is invariant w.r.t. a radial retraction. Our generalization of Browder's result is applied to the existence of compact invariant set of the Hutchinson-Barnsley operator on Peano'scontinua.

  • 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

    2014

  • 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

    24

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    SG - SINGAPORE

  • Number of pages

    9

  • Pages from-to

    1-9

  • UT code for WoS article

    000346223500017

  • EID of the result in the Scopus database