In recent literature, researchers have generated Julia sets and Mandelbrot sets in Mann and
Ishikawa orbits that are examples of two-step and three-step feedback processes …

The aesthetic patterns play a key role in the field of fractals. Due to self similarities in the
nature of fractals, researchers used the fractals in many fields of sciences (ie in Mathematics …

Mandelbrot is best appreciated for his broad attempt to describe irregular shapes in nature.
He founded fractal geometry in 1975. Subsequently the whole fractal theory developed …

Fixed point results in the generation of Julia and Mandelbrot sets | Journal of Inequalities and
Applications Skip to main content SpringerLink Account Menu Find a journal Publish with us …

Fractals are essential in representing the natural environment due to their important
characteristic of self similarity. The dynamical behavior of fractals mostly depends on escape …

In this research, we look at the Julia set patterns that are linked to the entire transcendental
function f (z)= aezn+ bz+ c, where a, b, c∈ C and n≥ 2, using the Mann iterative scheme …

Fractals play a vital role in modeling the natural environment. The present aim is to
investigate the escape criterion to generate specific fractals such as Julia sets, Mandelbrot …

In this paper, we study the generalized Jungck Mann orbit (GJMO) and prove the converse
theorem of results. We develop algorithms for the generation of filled Julia sets and their …

Self-similarity is a common feature among mathematical fractals and various objects of our
natural environment. Therefore, escape criteria are used to determine the dynamics of fractal …

We establish some escape criteria via Jungck–Mann fixed point iteration system with ss‐
convexity for complex‐valued polynomials of higher orders. As a result, we point out errors …