Reckoning of Newborn M-Sets with Their Complex Nature via Fixed Point Iteration

摘要

In recent times, charismatic nature of Fractals and the study of their aspects are fascinating and thoughtprovoking concepts of research in the field of mathematics and without the notions of Mandelbrot and Julia sets we can’t image the fractal theory. This paper examines the various newborn M-sets (Mandelbrot sets) for the complex general polynomial $z^{n}+C$ for $ngeq 2$ in GK-orbit. The main focus of this paper is to generate new Mandelbrot sets for above said polynomial and Figure out their mathematical tendencies.