Fractal Generation in Modified Jungck–S Orbit

Autor: Young Chel Kwun, Muhammad Tanveer, Waqas Nazeer, Mujahid Abbas, Shin Min Kang
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: IEEE Access, Vol 7, Pp 35060-35071 (2019)
Druh dokumentu: article
ISSN: 2169-3536
DOI: 10.1109/ACCESS.2019.2904677
Popis: The aim of this paper is to modify the Jungck-S iterative scheme by adding the idea of s-convexity. We define and analyze the modified Jungck-S orbit (MJSO) with s-convex combination and derive the escape criterion for MJSO. Moreover, we establish the algorithms to visualize some Julia sets, Mandelbrot sets, and biomorphs in this orbit. In the biomorph generation algorithm, we did not fix the threshold radius of proposed orbit (i.e., MJSO) as fixed in literature earlier. We also discuss the graphical behavior of some complex polynomials in the generation of Julia sets, Mandelbrot sets, and biomorphs in MJSO.
Databáze: Directory of Open Access Journals