IEEE Access (Jan 2019)

Fixed Point Results for Fractal Generation in Extended Jungck–SP Orbit

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

DOI
https://doi.org/10.1109/ACCESS.2019.2951385
Journal volume & issue
Vol. 7
pp. 160472 – 160481

Abstract

Read online

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.

Keywords