Kang, Shin Min; Rafiq, Arif; Latif, Abdul; Shahid, Abdul Aziz; Ali, Faisal Fractals through modified iteration scheme. (English) Zbl 1461.37048 Filomat 30, No. 11, 3033-3046 (2016). Summary: 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. Cited in 5 Documents MSC: 37F46 Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets 37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets 28A80 Fractals Keywords:relative superior Mandelbrot set; iteration scheme; complex dynamics PDFBibTeX XMLCite \textit{S. M. Kang} et al., Filomat 30, No. 11, 3033--3046 (2016; Zbl 1461.37048) Full Text: DOI