Stability, Data Dependence, and Convergence Results with Computational Engendering of Fractals via Jungck–DK Iterative Scheme

We have developed a Jungck version of the DK iterative scheme called Jungck–DK scheme. Our analysis focuses on convergence and stability for pair non-self-mappings using more general contractive condition. demonstrate that this converges faster than all other leading Jungck-type schemes. To further illustrate its effectiveness, we provide an example to verify rate prove data dependence result Finally, calculate escape criteria generating Mandelbrot Julia sets polynomial functions present visually appealing images these by our modified iteration.