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Multivalued fractals in b-metric spaces

  • Research Article
  • Published:
Central European Journal of Mathematics

Abstract

Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that examples of fractals and multivalued fractals are coming from fixed point theory for single-valued and multivalued operators, via the so-called fractal and multi-fractal operators. On the other hand, the most common setting for the study of fractals and multi-fractals is the case of operators on complete or compact metric spaces. The purpose of this paper is to extend the study of fractal operator theory for multivalued operators on complete b-metric spaces.

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Authors and Affiliations

  1. Department of Applied Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

    Monica Boriceanu & Adrian Petruşel

  2. Department of Business, Babeş-Bolyai University, Cluj-Napoca, Romania

    Marius Bota

Authors
  1. Monica Boriceanu
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  2. Marius Bota
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  3. Adrian Petruşel
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Correspondence to Monica Boriceanu.

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Boriceanu, M., Bota, M. & Petruşel, A. Multivalued fractals in b-metric spaces. centr.eur.j.math. 8, 367–377 (2010). https://doi.org/10.2478/s11533-010-0009-4

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  • DOI: https://doi.org/10.2478/s11533-010-0009-4

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