Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition

Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition

We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.

Bibliographic Details
Main Authors: Miculescu Radu, Mihail Alexandru, Savu Irina
Format: Article
Language:English
Published: Sciendo 2018-12-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
iterated function system
banach’s orbital condition
fractal operator
weakly picard operator
attractor
Online Access:https://doi.org/10.2478/awutm-2018-0016
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spelling doaj-8d90e4dc1fbb48e288e4758b6fb94ff42021-09-06T19:41:29ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072018-12-01562718010.2478/awutm-2018-0016awutm-2018-0016Iterated function systems consisting of continuous functions satisfying Banach’s orbital conditionMiculescu Radu0Mihail Alexandru1Savu Irina2Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu Street, nr. 50 500091 BraşovRomaniaFaculty of Mathematics and Computer Science, Bucharest University, Romania, Str. Academiei 14, 010014, BucharestFaculty of Mathematics and Computer Science, Bucharest University, Romania Str. Academiei 14, 010014, Bucharest, RomaniaWe introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.https://doi.org/10.2478/awutm-2018-0016iterated function systembanach’s orbital conditionfractal operatorweakly picard operatorattractor
collection DOAJ
language English
format Article
sources DOAJ
author Miculescu Radu
Mihail Alexandru
Savu Irina
spellingShingle Miculescu Radu
Mihail Alexandru
Savu Irina
Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
Annals of the West University of Timisoara: Mathematics and Computer Science
iterated function system
banach’s orbital condition
fractal operator
weakly picard operator
attractor
author_facet Miculescu Radu
Mihail Alexandru
Savu Irina
author_sort Miculescu Radu
title Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
title_short Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
title_full Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
title_fullStr Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
title_full_unstemmed Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
title_sort iterated function systems consisting of continuous functions satisfying banach’s orbital condition
publisher Sciendo
series Annals of the West University of Timisoara: Mathematics and Computer Science
issn 1841-3307
publishDate 2018-12-01
description We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.
topic iterated function system
banach’s orbital condition
fractal operator
weakly picard operator
attractor
url https://doi.org/10.2478/awutm-2018-0016
work_keys_str_mv AT miculescuradu iteratedfunctionsystemsconsistingofcontinuousfunctionssatisfyingbanachsorbitalcondition
AT mihailalexandru iteratedfunctionsystemsconsistingofcontinuousfunctionssatisfyingbanachsorbitalcondition
AT savuirina iteratedfunctionsystemsconsistingofcontinuousfunctionssatisfyingbanachsorbitalcondition
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