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Fixed Point Results for S-type Iterated Function System and Intuitionistic Fuzzy S-fractals

  • Kunti Mishra,
  • Bhagwati Prasad Chamola,
  • D. Easwaramoorthy,
  • M. Dhanzeem Ahmed,
  • T. Sathiyaraj

摘要

The primary goal of this paper is to demonstrate the presence and singular nature of a fixed point in an intuitionistic fuzzy metric space through the utilization of the \(S-\) contraction approach. Furthermore, it seeks to extend the Hutchinson-Barnsley theory within the same framework to generate a new type of attractor in the intuitionistic fuzzy metric space, called as Intuitionistic Fuzzy \(S-\) Fractals. Additionally, the paper presents the Collage theorem as a solution to an inverse problem within this theory.