An Application of Viscosity Approximation Type Iterative Method in the Generation of Mandelbrot and Julia Fractals
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| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00010-022-00908-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7432 |
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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 |