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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Vydáno v:	Fixed point theory and algorithms for sciences and engineering Ročník 2025; číslo 1; s. 3 - 23
Hlavní autoři:	Unni, A. Sreelakshmi, Pragadeeswarar, V.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 25.02.2025 Springer Nature B.V SpringerOpen
Témata:	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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Abstract	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 .
AbstractList	In this paper, we develop the proximal iterated function systems $(PIFS)$ ( P I F S ) using cyclic Meir-Keeler contractions and hence give an application in the fractal theory by constructing fractals using the new $IFS$ I F S . Furthermore, we extend the results to countable $PIFS$ P I F S . In this paper, we develop the proximal iterated function systems (PIFS) using cyclic Meir-Keeler contractions and hence give an application in the fractal theory by constructing fractals using the new IFS. Furthermore, we extend the results to countable PIFS. 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 . Abstract In this paper, we develop the proximal iterated function systems ( P I F S ) $(PIFS)$ using cyclic Meir-Keeler contractions and hence give an application in the fractal theory by constructing fractals using the new I F S $IFS$ . Furthermore, we extend the results to countable P I F S $PIFS$ .
ArticleNumber	3
Author	Pragadeeswarar, V. Unni, A. Sreelakshmi
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Snippet	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... In this paper, we develop the proximal iterated function systems $(PIFS)$ ( P I F S ) using cyclic Meir-Keeler contractions and hence give an application in... In this paper, we develop the proximal iterated function systems (PIFS) using cyclic Meir-Keeler contractions and hence give an application in the fractal... Abstract In this paper, we develop the proximal iterated function systems ( P I F S ) $(PIFS)$ using cyclic Meir-Keeler contractions and hence give an...
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SubjectTerms	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
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Title	Proximal iterated function systems using cyclic Meir-Keeler contractions and an application to fractal theory
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