Redefining fractals by Suzuki contraction

Abstract

There has been a significant effort in recent years to generalize the traditional concept of iterated function systems (IFS).In this article, we proposed Suzuki contraction in hyperspace and finding out the fixed point for Hutchinson mapping, which is called a deterministic fractal. The deterministic fractal for such a Suzuki contraction mapping is shown to exist and to be unique. We propose the Suzuki IFS (SIFS) in the literature for fractal creation based on this conclusion. Keywords: Fixed point, iterated function system, Suzuki contraction, Suzuki iterated function system, Attractor (Deterministic Fractal).