Julia and Mandelbrot sets of transcendental function via Fibonacci-Mann iteration

DOI10.1155/2022/2592573zbMath1498.37076OpenAlexW4280534765WikidataQ122222602 ScholiaQ122222602MaRDI QIDQ2672480

Anita Tomar, Swati Antal, Nihal Yilmaz Özgür

Publication date: 10 June 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/2592573

zbMATH Keywords

Julia setmeromorphic functionMandelbrot setFibonacci-Mann iteration process

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Meromorphic functions of one complex variable (general theory) (30D30) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Related Items (1)

On the viscosity approximation type iterative method and its non-linear behaviour in the generation of Mandelbrot and Julia sets

Cites Work

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• Iterative construction of fixed points of asymptotically nonexpansive mappings
• New approximation schemes for general variational inequalities
• Some problems of nonlinear analysis
• Fixed Points by a New Iteration Method
• FIBONACCI–MANN ITERATION FOR MONOTONE ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
• Mean Value Methods in Iteration

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