Mnohoznačná verze Šarkovského věty platí s nejvýše dvěmi výjimkami

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00004736" target="_blank" >RIV/61989592:15310/07:00004736 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A multivalued version of Sharkovskii?s theorem holds with at most two exception

Popis výsledku v původním jazyce

A multivalued version of Sharkovskii's theorem is formulated for M-maps on linear comtinua and, more generally, for triangular M-maps on a Cartesian product of linear continua. The main result in (Topological methods Nonl. Analysis 22 (2003), 369-386) isso improved in the sense that this multivalued analogy holds with at most two exceptions. A further specification is only due to some additional restrictions. For instance, 3-orbits of m-maps imply the existence of k-orbits, for each k from natural numbers, but not necessarily for k=4 a k=6. It is also shown that, on every connected linearly ordered topological space, an M-map with orbits of all periods can be always constructed. This demonstrates that Baldwin's classification of linear continua in terms of admissible periods has not much meaning for multivalued maps.

Název v anglickém jazyce

A multivalued version of Sharkovskii?s theorem holds with at most two exception

Popis výsledku anglicky

A multivalued version of Sharkovskii's theorem is formulated for M-maps on linear comtinua and, more generally, for triangular M-maps on a Cartesian product of linear continua. The main result in (Topological methods Nonl. Analysis 22 (2003), 369-386) isso improved in the sense that this multivalued analogy holds with at most two exceptions. A further specification is only due to some additional restrictions. For instance, 3-orbits of m-maps imply the existence of k-orbits, for each k from natural numbers, but not necessarily for k=4 a k=6. It is also shown that, on every connected linearly ordered topological space, an M-map with orbits of all periods can be always constructed. This demonstrates that Baldwin's classification of linear continua in terms of admissible periods has not much meaning for multivalued maps.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2007

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Fixed Point Theory and Applications

ISSN

1661-7738

e-ISSN

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Svazek periodika

2

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

18

Strana od-do

153-170

Kód UT WoS článku

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EID výsledku v databázi Scopus

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