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 inFixed 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
LanguageEnglish
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
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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