Fixed point results for fractal generation in extended Jungck–SP orbit

Li, Xiangyang; Tanveer, Muhammad; Abbas, Mujahid; Ahmad, Maqbool; Kwun, Young Chel; Liu, Jing

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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