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.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2018-12-01
|
| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/awutm-2018-0016 |
| _version_ | 1811289691254685696 |
|---|---|
| author | Miculescu Radu Mihail Alexandru Savu Irina |
| author_facet | Miculescu Radu Mihail Alexandru Savu Irina |
| author_sort | Miculescu Radu |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T03:58:51Z |
| format | Article |
| id | doaj.art-8d90e4dc1fbb48e288e4758b6fb94ff4 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-04-13T03:58:51Z |
| publishDate | 2018-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-8d90e4dc1fbb48e288e4758b6fb94ff42022-12-22T03:03:32ZengSciendoAnnals 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 |
| 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 |
| title | 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_short | 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 |
| 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 |