Abstract

In this study, we introduce an innovative proximity-based approach to fractals using a proximal iterated function system generated by a finite set of generalized proximal contractions (Prox-GC-IFS). Thus, as a novel method to create fractals, we present some results showing that the obtained Prox-GC-IFS has a unique best attractor under certain conditions. We include a constructive example to illustrate the generation of these fractals.

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