Variants of Julia and Mandelbrot sets as fractals via Jungck-Ishikawa fixed point iteration system with s-convexity

Variants of Julia and Mandelbrot sets as fractals via Jungck-Ishikawa fixed point iteration system with s-convexity

In this paper, we generate some non-classical variants of Julia and Mandelbrot sets, utilizing the Jungck-Ishikawa fixed point iteration system equipped with $ s $-convexity. We establish a novel escape criterion for complex polynomials of a higher degree of the form $ z^n + az^2 -bz + c $, where $...

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Bibliographic Details
Main Authors: Swati Antal, Anita Tomar, Darshana J. Prajapati, Mohammad Sajid
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:AIMS Mathematics
Subjects:
escape criterion
fixed point
jungck-ishikawa orbit
s-convexity
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2022611?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2022611?viewType=HTML

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