These days Mandelbrot set with transcendental function is an interesting area for mathematicians. New equations have been created for Mandelbrot set using trigonometric, logarithmic and exponential functions. Earlier, Ishikawa iteration has been applied to these equations and generate new fractals named as Relative Superior Mandelbrot Set with transcendental function. In this paper, the Mann it...

The aim of this paper is to present some modifications of the biomorphs generation algorithm introduced by Pickover in 1986. A biomorph stands for biological morphologies. It is obtained by a modified Julia set generation algorithm. The biomorph algorithm can be used in the creation of diverse and complicated forms resembling invertebrate organisms. In this paper the modifications of the biomor...

in this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modifiedriemann-liouville derivative was obtained with the help of fractional variational iteration method (fvim). a newapplication of fractional variational iteration method (fvim) was extended to derive analytical solutions in theform of a series for this equation. it is indicated that the so...

Abstract In recent years, researchers have studied the use of different iteration processes from fixed point theory in generation complex fractals. For instance, Mann, Ishikawa, Noor, Jungck–Mann and Jungck–Ishikawa iterations been used. this paper, we study Picard–Mann with s -convexity Mandelbrot Julia sets. We prove escape criterion for $$(k+1)$$ <mml:math xmlns:mml="http://www.w3.org/1998/M...

In this work, we introduce the notion of cascading non-expansive mappings in setting CAT(0) spaces. This family properly contains maps, but it differs from other generalizations class maps. Considering concept Δ-convergence metric spaces, prove a principle demiclosedness for type and theorem Mann iteration process defined using operators.

In this article, we present the set of all common fixed points a subfamily an evolution family in terms intersection only two operators from family; that is, for subset M id="M2"> mathvariant="fraktur">L , have id="M3"> F </mfe...

This paper presents a new problem solving approach that is able to generate optimal policy solution for finite-state stochastic sequential decision-making problems with high data efficiency. The proposed algorithm iteratively builds and improves an approximate Markov Decision Process (MDP) model along with cost-to-go value approximates by generating finite length trajectories through the state-...