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

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Authors

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

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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.

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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

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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.