Fractals through Modified Iteration Scheme

Shin Min Kang, Arif Rafiq, Abdul Latif, Abdul Aziz Shahid, Faisal Ali

In this paper we study the geometry of relative superior Mandelbrot sets through $S$-iteration scheme. Our results are quit significant from other Mandelbrot sets existing in the literature. Besides this, we also observe that $S$-iteration scheme converges faster than Ishikawa iteration scheme. We believe that the results of this paper can be inspired those who are interested in creating automatically aesthetic patterns.