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An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals

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Main Authors: Sudesh, Kumari, Krzysztof, Gdawiec, Ashish, Nandal
Format: Book
Language:English
Published: Springer 2023
Subjects:
type T(z)=zn+pz+r
Zeros of Maximal Monotone Operators
Online Access:https://link.springer.com/article/10.1007/s00010-022-00908-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7432
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spelling oai:localhost:PNK-74322023-04-03T07:03:39Z An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals Sudesh, Kumari Krzysztof, Gdawiec Ashish, Nandal type T(z)=zn+pz+r Zeros of Maximal Monotone Operators CC BY In this paper, we present an application of the viscosity approximation type iterative method introduced by Nandal et al. (Iteration Process for Fixed Point Problems and Zeros of Maximal Monotone Operators, Symmetry, 2019) to visualize and analyse the Julia and Mandelbrot sets for a complex polynomial of the type T(z)=zn+pz+r , where p,r∈C, and n≥2. This iterative method has many applications in solving various fixed point problems. We derive an escape criterion to visualize Julia and Mandelbrot sets via the proposed viscosity approximation type method. 2023-04-03T07:03:39Z 2023-04-03T07:03:39Z 2022 Book https://link.springer.com/article/10.1007/s00010-022-00908-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7432 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic type T(z)=zn+pz+r
Zeros of Maximal Monotone Operators
spellingShingle type T(z)=zn+pz+r
Zeros of Maximal Monotone Operators
Sudesh, Kumari
Krzysztof, Gdawiec
Ashish, Nandal
An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
description CC BY
format Book
author Sudesh, Kumari
Krzysztof, Gdawiec
Ashish, Nandal
author_facet Sudesh, Kumari
Krzysztof, Gdawiec
Ashish, Nandal
author_sort Sudesh, Kumari
title An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
title_short An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
title_full An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
title_fullStr An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
title_full_unstemmed An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
title_sort application of viscosity approximation type iterative method in the generation of mandelbrot and julia fractals
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00010-022-00908-z
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7432
_version_ 1762184303264923648
score 8.891787

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