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 …

In this manuscript, we introduce the M-iteration process for generating Mandelbrot and Julia
sets. We establish an escape criterion for a polynomial of the form x k+ 1+ c in the complex …

Biomorphs are graphic objects with very interesting shapes resembling unicellular and
microbial organisms such as bacteria. They have applications in different fields like medical …

Fixed point iterative procedures are the backbones of fractal geometry. In existing literature
Julia sets, Mandelbrot sets and their variants have been studied using one-step, two-step …

In this paper, we introduce a generalized rational map to develop a theory of escape
criterion via the SP-iteration process equipped with s-convexity. Furthermore, we develop …

In this paper, we generalize the idea of star‐shaped set inversion fractals using iterations
known from fixed point theory. We also extend the iterations from real parameters to so …

In recent years, researchers have studied the use of different iteration processes from fixed
point theory for the generation of complex fractals. Examples are the Mann, the Ishikawa, the …

In recent years, an extensive study on the use of various iteration schemes from fixed point
theory for the generation of Mandelbrot and Julia sets in complex space has been carried …

In this paper, we introduce a membership function used to form the fuzzy Mandelbric set and
investigate the structural effects of additive and multiplicative dynamic noises on it. The …

Many physical situations involve chaotic systems implemented in hardware. Among them
one-dimensional piecewise linear maps are popular candidates for such applications …