An application of viscosity approximation type iterative method in the generation of Mandelbrot and Julia fractals
From MaRDI portal
Publication:2695998
DOI10.1007/s00010-022-00908-zOpenAlexW4292471368WikidataQ114232184 ScholiaQ114232184MaRDI QIDQ2695998
Sudesh Kumari, Ashish Nandal, Renu Chugh, Naresh Kumar, Krzysztof Gdawiec
Publication date: 5 April 2023
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-022-00908-z
Iteration theory, iterative and composite equations (39B12) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A study of dynamics of the tricomplex polynomial \(\eta ^p+c\)
- The generalized M-J sets for bicomplex numbers
- Julia sets and Mandelbrot sets in Noor orbit
- New escape criteria for complex fractals generation in Jungck-CR orbit
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- An example concerning fixed points
- Viscosity approximation methods for fixed-points problems
- The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets
- On the construction, properties and Hausdorff dimension of random Cantor one \(p^{th}\) set
- Iteration process for fixed point problems and zeros of maximal monotone operators
- A novel four-step feedback procedure for rapid control of chaotic behavior of the logistic map and unstable traffic on the road
- A First Course in Chaotic Dynamical Systems
- Partitioned iterated function systems with division and a fractal dependence graph in recognition of 2D shapes
- Fixed points of nonexpanding maps
- Mean Value Methods in Iteration
This page was built for publication: An application of viscosity approximation type iterative method in the generation of Mandelbrot and Julia fractals
