Fixed point results for fractal generation in extended Jungck–SP orbit
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Date
Authors
Li, Xiangyang
Tanveer, Muhammad
Abbas, Mujahid
Ahmad, Maqbool
Kwun, Young Chel
Liu, Jing
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Electrical and Electronics Engineers
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.
Description
Keywords
Jungck-SP, Complex graphics, Escape radius, Fractals, Orbits, Visualization, Biology, Licenses, Data visualisation, Graph theory, Set theory, Iterative methods, Mandelbrot graph set, Julia graph set, Extended Jungck-SP Orbit, Fixed point results, S-convexity, Fractal visualization, Fractal generation, Extended iteration
Sustainable Development Goals
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.