Generalized G-Hausdorff space and applications in fractals.

In this paper, we introduce the concept of a G -Hausdorff space and show how the results established in the usual metric space can be generalized to the G -metric space. The proven results are used to propose an iterated function system (IFS) called G -IFS. Additionally, the existence of the fractal associated with this construction is demonstrated. This paper shows how non-affine transformations and fractal interpolation functions (FIFs) can be used to approximate fractals by G -IFS. This paper contributes to the understanding of fractal geometry and its applications in mathematics and other fields. • The research paper introduces the concept of a Hausdorff space. • It shows how the results established in the usual metric space can be extended to a more general G metric space. • An iterative function system (IFS) is constructed using the proven results, and a G -IFS is proposed. • The existence of fractals associated with this construction is demonstrated. [ABSTRACT FROM AUTHOR]