Fractals of generalized F- Hutchinson operator in b-metric spaces

TL;DR

This paper develops a framework for constructing fractals using generalized F-contraction mappings in b-metric spaces, extending classical results and unifying various existing theories.

Contribution

It introduces a new class of fractals based on generalized F-contractions in b-metric spaces, broadening the scope of fractal construction methods.

Findings

Established existence of fractals via generalized F-contractions

Unified various contractive conditions in fractal theory

Extended classical fractal construction results

Abstract

The aim of this paper is to construct a fractal with the help of a finite family of generalized F-contraction mappings, a class of mappings more general than contraction mappings, defined in the setup of b-metric space. Consequently, we obtain a variety of results for iterated function system satisfying a different set of contractive conditions. Our results unify, generalize and extend various results in the existing literature.