Comparative Study of Some Fixed-Point Methods in the Generation of Julia and Mandelbrot Sets
Joint Authors
Tanveer, Muhmmad
Zhou, Hao
Li, Jingjng
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Fractal is a geometrical shape with property that each point of the shape represents the whole.
Having this property, fractals procured the attention in computer graphics, engineering, biology, mathematics, physics, art, and design.
The fractals generated on highest priorities are the Julia and Mandelbrot sets.
So, in this paper, we develop some necessary conditions for the convergence of sequences established for the orbits of M, M∗, and K-iterative methods to generate these fractals.
We adjust algorithms according to the develop conditions and draw some attractive Julia and Mandelbrot sets with sequences of iterates from proposed fixed-point iterative methods.
Moreover, we discuss the self-similarities with input parameters in each graph and present the comparison of images with proposed methods.
American Psychological Association (APA)
Zhou, Hao& Tanveer, Muhmmad& Li, Jingjng. 2020. Comparative Study of Some Fixed-Point Methods in the Generation of Julia and Mandelbrot Sets. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188152
Modern Language Association (MLA)
Zhou, Hao…[et al.]. Comparative Study of Some Fixed-Point Methods in the Generation of Julia and Mandelbrot Sets. Journal of Mathematics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1188152
American Medical Association (AMA)
Zhou, Hao& Tanveer, Muhmmad& Li, Jingjng. Comparative Study of Some Fixed-Point Methods in the Generation of Julia and Mandelbrot Sets. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1188152
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188152