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Coupled fractal dynamics via Meir–Keeler operators

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  • Petruşel, Adrian
  • Petruşel, Gabriela

Abstract

The aim of this paper to present some new fractals constructions based on a fixed point approach for Meir–Keeler type operators in complete metric spaces. The concept of coupled fixed point is considered and coupled fractals are generated. Our results extend some recent theorems for single-valued Banach contractions, as well as some other results concerning the dynamics of the self-similar sets generated by iterated function systems.

Suggested Citation

  • Petruşel, Adrian & Petruşel, Gabriela, 2019. "Coupled fractal dynamics via Meir–Keeler operators," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 206-212.
    • Handle: RePEc:eee:chsofr:v:122:y:2019:i:c:p:206-212
    DOI: 10.1016/j.chaos.2019.03.011
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    References listed on IDEAS

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    1. Ri, Songil, 2019. "New types of fractal interpolation surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 291-297.
    2. Llorens-Fuster, Enrique & Petruşel, Adrian & Yao, Jen-Chih, 2009. "Iterated function systems and well-posedness," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1561-1568.
    3. Ri, SongIl, 2019. "DUPLICATE: New types of fractal interpolation surfaces," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 52-58.
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    Cited by:

    1. Choudhury, Binayak S. & Chakraborty, Priyam, 2022. "Strong fixed points of Φ-couplings and generation of fractals," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

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