On the Mandelbrot set of \(z^p +\log c^t\) via the Mann and Picard-Mann iterations

DOI10.1016/j.matcom.2023.02.012MaRDI QIDQ6104693

Waqas Nazeer, Krzysztof Gdawiec, Muhammad Tanveer

Publication date: 28 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

Mann iterationMandelbrot setPicard-Mann iterationescape criterionrosette patterns

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Computer science (68-XX)

Cites Work

• Julia sets and Mandelbrot sets in Noor orbit
• The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets
• A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method
• A brief note on fractal dynamics of fractional Mandelbrot sets
• Newton's method with fractional derivatives and various iteration processes via visual analysis
• Tricorns and multicorns of \(S\)-iteration scheme
• A Picard-Mann hybrid iterative process
• General escape criteria for the generation of fractals in extended Jungck-Noor orbit
• COMPOSED ACCELERATED ESCAPE TIME ALGORITHM TO CONSTRUCT THE GENERAL MANDELBROT SETS
• A First Course in Chaotic Dynamical Systems
• Mean Value Methods in Iteration
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