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
Online Access	Get full text
ISSN	2730-5422 2730-5422
DOI	10.1186/s13663-025-00784-7

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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 .
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	2730-5422 2730-5422
DOI:	10.1186/s13663-025-00784-7