The purpose of this research is to introduce a Jungck–S iterative method with –convexity and hence unify different comparable iterative schemes existing in the literature. A Jungck–S orbit is constructed, and escape radius is derived with our scheme. A new escape radius is also obtained for generating the fractals. Julia and Mandelbrot set are visualized with the help of proposed algorithms based on our iterative scheme. Moreover, we present some complex graphs of Julia and Mandelbrot sets using the derived orbit and discuss their nature in detail.

中文翻译：

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分形通过广义Jungck–S迭代方案

本研究的目的是介绍一种采用以下方法的Jungck–S迭代方法： -凸性，因此统一了文献中存在的不同可比迭代方案。构造了Jungck–S轨道，并通过我们的方案得出了逃逸半径。还获得了用于产生分形的新的逃逸半径。Julia和Mandelbrot集在基于我们的迭代方案的拟议算法的帮助下可视化。此外，我们使用导出的轨道展示了Julia和Mandelbrot集的一些复杂图，并详细讨论了它们的性质。