Fixed point results for fractal generation in extended Jungck–SP orbit
dc.contributor.author | Li, Xiangyang | |
dc.contributor.author | Tanveer, Muhammad | |
dc.contributor.author | Abbas, Mujahid | |
dc.contributor.author | Ahmad, Maqbool | |
dc.contributor.author | Kwun, Young Chel | |
dc.contributor.author | Liu, Jing | |
dc.date.accessioned | 2020-05-20T07:29:51Z | |
dc.date.available | 2020-05-20T07:29:51Z | |
dc.date.issued | 2019 | |
dc.description.abstract | In this paper, we extend Jungck–SP iteration with s–convexity in second sense and define its orbit. We prove the fixed point results for fractal generation via extended iteration and utilize these results to develop algorithms for fractal visualization. Moreover, we present some complex graphs of Julia and Mandelbrot sets in Jungck–SP orbit with s–convexity.We also present some examples to show the variation in images with involved parameters. | en_ZA |
dc.description.department | Mathematics and Applied Mathematics | en_ZA |
dc.description.librarian | am2020 | en_ZA |
dc.description.sponsorship | Scientific Research Projects of Zhejiang Education Department under Grant No. Y201840349, the Soft Science Project of Ningbo under Grant No. 2018A10039, and Ningbo Natural Science Foundation in Zhejiang province, China, under Grant No. 2017A610105. | en_ZA |
dc.description.uri | http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639 | en_ZA |
dc.identifier.citation | Li, X., Tanveer, M., Abbas, M. et al. 2019, 'Fixed point results for fractal generation in extended Jungck–SP orbit', IEEE Access, vol. 7, pp. 160472-160481. | en_ZA |
dc.identifier.issn | 2169-3536 (online) | |
dc.identifier.other | 10.1109/ACCESS.2019.2951385 | |
dc.identifier.uri | http://hdl.handle.net/2263/74648 | |
dc.language.iso | en | en_ZA |
dc.publisher | Institute of Electrical and Electronics Engineers | en_ZA |
dc.rights | This work is licensed under a Creative Commons Attribution 4.0 License. | en_ZA |
dc.subject | Jungck-SP | en_ZA |
dc.subject | Complex graphics | en_ZA |
dc.subject | Escape radius | en_ZA |
dc.subject | Fractals | en_ZA |
dc.subject | Orbits | en_ZA |
dc.subject | Visualization | en_ZA |
dc.subject | Biology | en_ZA |
dc.subject | Licenses | en_ZA |
dc.subject | Data visualisation | en_ZA |
dc.subject | Graph theory | en_ZA |
dc.subject | Set theory | en_ZA |
dc.subject | Iterative methods | en_ZA |
dc.subject | Mandelbrot graph set | en_ZA |
dc.subject | Julia graph set | en_ZA |
dc.subject | Extended Jungck-SP Orbit | en_ZA |
dc.subject | Fixed point results | en_ZA |
dc.subject | S-convexity | en_ZA |
dc.subject | Fractal visualization | en_ZA |
dc.subject | Fractal generation | en_ZA |
dc.subject | Extended iteration | en_ZA |
dc.title | Fixed point results for fractal generation in extended Jungck–SP orbit | en_ZA |
dc.type | Article | en_ZA |