The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets
From MaRDI portal
Publication:2041662
DOI10.1007/s00605-021-01591-zzbMath1477.37057OpenAlexW3179896131WikidataQ121366464 ScholiaQ121366464MaRDI QIDQ2041662
Waqas Nazeer, Abdul Aziz Shahid, Krzysztof Gdawiec
Publication date: 23 July 2021
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-021-01591-z
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (4)
Mandelbrot and Julia sets of complex polynomials involving sine and cosine functions via Picard-Mann orbit ⋮ On the Mandelbrot set of \(z^p +\log c^t\) via the Mann and Picard-Mann iterations ⋮ An application of viscosity approximation type iterative method in the generation of Mandelbrot and Julia fractals ⋮ A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fixed point results in the generation of Julia and Mandelbrot sets
- A new iterative approach to fractal models
- Julia sets and Mandelbrot sets in Noor orbit
- A new approach to superfractals
- The bounds of the general \(M\) and \(J\) sets and the estimations for the Hausdorff's dimension of the general \(J\) set.
- Polynomiography for the polynomial infinity norm via Kalantari's formula and nonstandard iterations
- Procedural generation of aesthetic patterns from dynamics and iteration processes
- Control of dynamics of the modified Newton-Raphson algorithm
- Tricorns and multicorns of \(S\)-iteration scheme
- A Picard-Mann hybrid iterative process
- Biomorphs via modified iterations
- S-iteration scheme and polynomiography
- Dynamics of exp (z)
- Area and Hausdorff Dimension of Julia Sets of Entire Functions
- Observations on the dynamics of the complex cosine-root family
- Dynamics of the family 𝜆tan𝑧
- COMPOSED ACCELERATED ESCAPE TIME ALGORITHM TO CONSTRUCT THE GENERAL MANDELBROT SETS
- A First Course in Chaotic Dynamical Systems
- Fractals through modified iteration scheme
- Mean Value Methods in Iteration
- New fixed point results for fractal generation in Jungck Noor orbit with \(s\)-convexity
This page was built for publication: The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets
