Proximal iterated function systems using cyclic Meir-Keeler contractions and an application to fractal theory

In this paper, we develop the proximal iterated function systems ( P I F S ) using cyclic Meir-Keeler contractions and hence give an application in the fractal theory by constructing fractals using the new I F S . Furthermore, we extend the results to countable P I F S .

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 3 - 23
Main Authors: Unni, A. Sreelakshmi, Pragadeeswarar, V.
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 25.02.2025
Springer Nature B.V
SpringerOpen
Subjects:
Algorithms
Analysis
Applications of Mathematics
Best attractor
Cyclic Meir-Keeler contraction
Differential Geometry
Fractals
Iterated function systems
Mapping
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
Cyclic Meir-Keeler contraction
Iterated function systems
Best attractor
ISSN:2730-5422, 2730-5422
Online Access:Get full text
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Summary:In this paper, we develop the proximal iterated function systems ( P I F S ) using cyclic Meir-Keeler contractions and hence give an application in the fractal theory by constructing fractals using the new I F S . Furthermore, we extend the results to countable P I F S .
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ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-025-00784-7