Fixed point results of an implicit iterative scheme for fractal generations

DOI10.3934/MATH.2021761OpenAlexW3199231400MaRDI QIDQ2142887

Nehad Ali Shah, Muhammad Tanveer, Haixia Zhang, Yi Xia Li, Qingxiu Peng

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021761

zbMATH Keywords

fixed point theoryfractalsJungck-Ishikawa iteration

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Cites Work

• Unnamed Item
• The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces
• On rate of convergence of Jungck-type iterative schemes
• Julia sets and Mandelbrot sets in Noor orbit
• Effect of stochastic noise on superior Julia sets
• Tricorns and multicorns of \(S\)-iteration scheme
• Dynamics of iterative schemes for quadratic polynomial
• On a new class of planar fractals: the Pascal-Sierpinski gaskets
• COMPOSED ACCELERATED ESCAPE TIME ALGORITHM TO CONSTRUCT THE GENERAL MANDELBROT SETS
• A GENERALIZED VERSION OF THE MCMULLEN DOMAIN
• New fixed point results for fractal generation in Jungck Noor orbit with \(s\)-convexity

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