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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Veröffentlicht in:Fixed point theory and algorithms for sciences and engineering Jg. 2025; H. 1; S. 3 - 23
Hauptverfasser: Unni, A. Sreelakshmi, Pragadeeswarar, V.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 25.02.2025
Springer Nature B.V
SpringerOpen
Schlagworte:
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
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Zusammenfassung: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 .
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-025-00784-7