Fractals via Generalized Jungck–S Iterative Scheme
The purpose of this research is to introduce a Jungck–S iterative method with m,h1,h2–convexity and hence unify different comparable iterative schemes existing in the literature. A Jungck–S orbit is constructed, and escape radius is derived with our scheme. A new escape radius is also obtained for g...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/8886056 |
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| _version_ | 1849434632238399488 |
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| author | Zhihua Chen Muhammad Tanveer Waqas Nazeer Jing Wu |
| author_facet | Zhihua Chen Muhammad Tanveer Waqas Nazeer Jing Wu |
| author_sort | Zhihua Chen |
| collection | DOAJ |
| description | The purpose of this research is to introduce a Jungck–S iterative method with m,h1,h2–convexity and hence unify different comparable iterative schemes existing in the literature. A Jungck–S orbit is constructed, and escape radius is derived with our scheme. A new escape radius is also obtained for generating the fractals. Julia and Mandelbrot set are visualized with the help of proposed algorithms based on our iterative scheme. Moreover, we present some complex graphs of Julia and Mandelbrot sets using the derived orbit and discuss their nature in detail. |
| format | Article |
| id | doaj-art-e3d3c8e1779544b4bde62c0c497b3257 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e3d3c8e1779544b4bde62c0c497b32572025-08-20T03:26:34ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/88860568886056Fractals via Generalized Jungck–S Iterative SchemeZhihua Chen0Muhammad Tanveer1Waqas Nazeer2Jing Wu3Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, ChinaDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Mathematics, GC University, Lahore, PakistanSchool of Science, Xijing University, Xian 710123, ChinaThe purpose of this research is to introduce a Jungck–S iterative method with m,h1,h2–convexity and hence unify different comparable iterative schemes existing in the literature. A Jungck–S orbit is constructed, and escape radius is derived with our scheme. A new escape radius is also obtained for generating the fractals. Julia and Mandelbrot set are visualized with the help of proposed algorithms based on our iterative scheme. Moreover, we present some complex graphs of Julia and Mandelbrot sets using the derived orbit and discuss their nature in detail.http://dx.doi.org/10.1155/2021/8886056 |
| spellingShingle | Zhihua Chen Muhammad Tanveer Waqas Nazeer Jing Wu Fractals via Generalized Jungck–S Iterative Scheme Discrete Dynamics in Nature and Society |
| title | Fractals via Generalized Jungck–S Iterative Scheme |
| title_full | Fractals via Generalized Jungck–S Iterative Scheme |
| title_fullStr | Fractals via Generalized Jungck–S Iterative Scheme |
| title_full_unstemmed | Fractals via Generalized Jungck–S Iterative Scheme |
| title_short | Fractals via Generalized Jungck–S Iterative Scheme |
| title_sort | fractals via generalized jungck s iterative scheme |
| url | http://dx.doi.org/10.1155/2021/8886056 |
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