Reckoning common solutions of nonlinear problems with application to fractal generation
Abstract
We propose a new three-step iterative scheme for approximating common fixed points for a broad class of operators, including nonexpansive and Suzuki-type mappings, in uniformly convex Banach spaces. Weak and strong convergence theorems are established. Numerical comparisons with classical and modern methods show that our scheme achieves faster convergence. Additionally, we extend the proposed iteration to the complex plane and apply it to the generation of Julia and Mandelbrot fractals.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Mathematical Theories
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- Chaos Solitons & Fractals
- Publisher
- Elsevier BV
- Volume
- 207
- Pages
- 118050–118050
- Publication date
- 10 February 2026
- Language
- EN