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

Xiangyang Li, Muhammad Tanveer, Mujahid Abbas and 3 more

IEEE Access · 2019

doi:10.1109/access.2019.2951385 (opens in a new tab)

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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.

Abstract licence: CC BY-NC-ND

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