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http://hdl.handle.net/20.500.12128/9318
Tytuł: | On some set-valued iteration semigroups generated by interval-valued functions |
Autor: | Łydzińska, Grażyna |
Słowa kluczowe: | Iteration theory; set-valued function; iteration semigroup; set-valued iteration semigroup. |
Data wydania: | 2016 |
Źródło: | Aequationes Mathematicae, Vol. 90, no. 2 (2016), s. 381-391 |
Abstrakt: | Let X be an arbitrary set.We characterize all interval-valued functions A : X → 2R
for which a multifunction F : (0,∞)×X → 2X of the form F(t, x) = A− A(x)+min{t, q −
inf A(x)} , where q = supA(X), is an iteration semigroup. The multifunction F is the
set-valued counterpart of the fundamental form of continuous iteration semigroups of singlevalued
functions on an interval. |
URI: | http://hdl.handle.net/20.500.12128/9318 |
DOI: | 10.1007/s00010-015-0346-2 |
ISSN: | 0001-9054 |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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