Fractals of generalized FG-Hutchinson-Barnsley operator in metric spaces

Abstract

The goal of this work is to build fractals using a finite family of FG-contraction mappings. This class of mappings is more general than Banach contraction, F-contraction, Geraghty-contraction, rational-type contraction and many other contractions on metric spaces. We derive several consequence of our main result and discuss certain iterated function systems that fulfil a specific set of contractive requirements. Several examples are presented with accompanying graphics to substantiate the findings obtained here. Our results integrate, generalize, and extend previous work in this area.