Coupled fractal dynamics via Meir–Keeler operators

Adrian Petruşel and Gabriela Petruşel

Chaos, Solitons & Fractals, 2019, vol. 122, issue C, 206-212

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.

Keywords: Single-valued operator; Meir–Keeler operator; Fixed point; Fixed set; Coupled fixed point; Coupled fixed sets (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:122:y:2019:i:c:p:206-212

DOI: 10.1016/j.chaos.2019.03.011

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