IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i13p2826-d1177885.html
   My bibliography  Save this article

Generalized Iterated Function Systems on b -Metric Spaces

Author

Listed:
  • Izabella Abraham

    (Faculty of Mathematics and Computer Science, Transilvania University, Iuliu Maniu Street 50, 500091 Braşov, Romania)

  • Radu Miculescu

    (Faculty of Mathematics and Computer Science, Transilvania University, Iuliu Maniu Street 50, 500091 Braşov, Romania)

Abstract

An iterated function system consists of a complete metric space ( X , d ) and a finite family of contractions f 1 , ⋯ , f n : X → X . A generalized iterated function system comprises a finite family of contractions defined on the Cartesian product X m with values in X . In this paper, we want to investigate generalized iterated function systems in the more general setting of b -metric spaces. We prove that such a system admits a unique attractor and, under some further restrictions on the b -metric, it depends continuously on parameters. We also provide two examples of generalized iterated function systems defined on a particular b -metric space and find the corresponding attractors.

Suggested Citation

  • Izabella Abraham & Radu Miculescu, 2023. "Generalized Iterated Function Systems on b -Metric Spaces," Mathematics, MDPI, vol. 11(13), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2826-:d:1177885
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/13/2826/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/13/2826/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Abraham, Izabella & Miculescu, Radu & Mihail, Alexandru, 2024. "Relational generalized iterated function systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2826-:d:1177885. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.