<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Faculty of Mathematics and Computer Science

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal...

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

Publié en ligne: 30 avr. 2020

Pages: 71 - 80

DOI: https://doi.org/10.2478/awutm-2018-0016

Mots clés
iterated function system, Banach’s orbital condition, fractal operator, weakly Picard operator, attractor

© 2018 Radu Miculescu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Publié en ligne: 30 avr. 2020

Pages: 71 - 80

DOI: https://doi.org/10.2478/awutm-2018-0016

Mots clésiterated function system, Banach’s orbital condition, fractal operator, weakly Picard operator, attractor

© 2018 Radu Miculescu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
iterated function system, Banach’s orbital condition, fractal operator, weakly Picard operator, attractor