Fixed point theorems and iterative function system in G−metric spaces

الملخص EN

Iterated function space is a method to construct fractals and the results are self-similar.

In this paper, we introduce the Hutchinson Barnsley operator (shortly, (H − B) operator) on a G − metric space and employ its theory to construct a fractal set as its unique fixed point by using Ciric type generalized F-contraction in complete G − metric space.

In addition, some concepts are illustrated by numerical examples.