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Analysis Study Research Paper | Mathematics | India | Volume 12 Issue 7, July 2023
Exploring the Hutchinson-Barnsley Operator in the Context of M-Fuzzy Metric Spaces
Abstract: Fractals are an exciting area in the research that offers many research possibilities in applied and pure mathematics. Most of the researchers are doing lots of work in this area. The Hutchinson-Barnsley theory (HB theory) to define and construct a fractal set as its unique fixed point in complete metric space. In this paper we study the concepts and properties of HB operator and we present M-Fuzzy contractions in the M-Fuzzy metric spaces by generalizing the Hutchinson-Barnsley theory. Our results generalize and extend some recent results related with Hutchinson-Barnsley operator in the metric spaces.
Keywords: Fractals, M-Fuzzy Metric Space, Iterated Function System, Attractor, Fractal Space, Contraction mapping, Compact set
Edition: Volume 12 Issue 7, July 2023,
Pages: 1973 - 1975