This manuscript presents a fixed point theorem for multi-parameter distance reducing mappings in Banach spaces. Additionally, the main result is extended to the hyperspace of Banach spaces, enabling the identification of attractors within the framework of iterated function systems theory.

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Fractal Generation via Multi-parameter Distance Reducing Mappings

  • Himanshu Baranwal,
  • Arya Kumar Bedabrata Chand

摘要

This manuscript presents a fixed point theorem for multi-parameter distance reducing mappings in Banach spaces. Additionally, the main result is extended to the hyperspace of Banach spaces, enabling the identification of attractors within the framework of iterated function systems theory.