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

Radu Miculescu; Alexandru Mihail; Irina Savu

doi:10.2478/awutm-2018-0016

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 56 (2018): Issue 2 (December 2018)

By: Radu Miculescu, Alexandru Mihail and Irina Savu

Open Access

|Apr 2020

Abstract

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2018-0016 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 71 - 80

Published on: Apr 30, 2020

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

iterated function system,

Banach’s orbital condition,

fractal operator,

weakly Picard operator,

attractor

Related subjects:

Mathematics,

General mathematics

© 2020 Radu Miculescu, Alexandru Mihail, Irina Savu, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 56 (2018): Issue 2 (December 2018)