**4. Conclusions**

In this paper, a Picard Ishikawa type orbit was used to study the behaviour of complex poylnomials. We obtained escape criterions for complex quadratic, cubic and higher degree polynomials. Some alluring Julia and Mandelbrot sets have been generated. We also observed that the variation of parameters has shown eminent changes in the Julia and Mandelbrot sets. Our results are different from comparable existing results as we obtain escape criterion and fractals for polynomials of the form *<sup>T</sup>*(*x*) = *x<sup>n</sup>* + *mx* + *r* where *m*,*r* ∈ C without using the Jungck iterative process. It is also worth mentioning that the behaviour of the polynomial and shape of the fractal generated under the iterative process (**??**) is different and unique as compared to the iterative process studied before in the literature [**????** ].

**Author Contributions:** Conceptualization, M.A. and H.I.; methodology, M.A. and H.I.; validation, M.A. and M.D.l.S., formal analysis H.I.; investigation, H.I. and M.A.; writing—original draft preparation, H I.; writing—review and editing, H.I.; visualization, M.D.l.S.; supervision, M.A. and M.D.l.S.; project administration, M.D.l.S.; funding acquisition, M.D.l.S. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research was funded by Basque Government through gran<sup>t</sup> number IT 1207-19.

**Acknowledgments:** All the authors are grateful to the referees for their critical remarks and valuable suggestions which helped to improve the presentation of the paper.

**Conflicts of Interest:** The authors declare no conflict of interest.
