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

dc.contributor.authorLi, Xiangyang
dc.contributor.authorTanveer, Muhammad
dc.contributor.authorAbbas, Mujahid
dc.contributor.authorAhmad, Maqbool
dc.contributor.authorKwun, Young Chel
dc.contributor.authorLiu, Jing
dc.date.accessioned2020-05-20T07:29:51Z
dc.date.available2020-05-20T07:29:51Z
dc.date.issued2019
dc.description.abstractIn 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.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianam2020en_ZA
dc.description.sponsorshipScientific 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.urihttp://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639en_ZA
dc.identifier.citationLi, 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.issn2169-3536 (online)
dc.identifier.other10.1109/ACCESS.2019.2951385
dc.identifier.urihttp://hdl.handle.net/2263/74648
dc.language.isoenen_ZA
dc.publisherInstitute of Electrical and Electronics Engineersen_ZA
dc.rightsThis work is licensed under a Creative Commons Attribution 4.0 License.en_ZA
dc.subjectJungck-SPen_ZA
dc.subjectComplex graphicsen_ZA
dc.subjectEscape radiusen_ZA
dc.subjectFractalsen_ZA
dc.subjectOrbitsen_ZA
dc.subjectVisualizationen_ZA
dc.subjectBiologyen_ZA
dc.subjectLicensesen_ZA
dc.subjectData visualisationen_ZA
dc.subjectGraph theoryen_ZA
dc.subjectSet theoryen_ZA
dc.subjectIterative methodsen_ZA
dc.subjectMandelbrot graph seten_ZA
dc.subjectJulia graph seten_ZA
dc.subjectExtended Jungck-SP Orbiten_ZA
dc.subjectFixed point resultsen_ZA
dc.subjectS-convexityen_ZA
dc.subjectFractal visualizationen_ZA
dc.subjectFractal generationen_ZA
dc.subjectExtended iterationen_ZA
dc.titleFixed point results for fractal generation in extended Jungck–SP orbiten_ZA
dc.typeArticleen_ZA

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