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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| Published in | Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 3 - 23 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cham
Springer International Publishing
25.02.2025
Springer Nature B.V SpringerOpen |
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| ISSN | 2730-5422 2730-5422 |
| DOI | 10.1186/s13663-025-00784-7 |
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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 | 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 $PIFS$ . 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 $(PIFS)$ ( 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 ( 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 . |
| ArticleNumber | 3 |
| Author | Pragadeeswarar, V. Unni, A. Sreelakshmi |
| Author_xml | – sequence: 1 givenname: A. Sreelakshmi surname: Unni fullname: Unni, A. Sreelakshmi organization: Department of Mathematics, Amrita School of Physical Sciences – sequence: 2 givenname: V. surname: Pragadeeswarar fullname: Pragadeeswarar, V. email: v_pragadeeswarar@cb.amrita.edu organization: Department of Mathematics, Amrita School of Physical Sciences |
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| Cites_doi | 10.1186/s13662-021-03538-y 10.1016/j.chaos.2021.110850 10.1186/s13663-015-0460-9 10.1080/16168658.2020.1746484 10.1016/j.indag.2015.07.006 10.3390/sym16060738 10.22075/ijnaa 10.1016/j.na.2007.10.014 10.1016/j.chaos.2024.115398 10.1512/iumj.1981.30.30055 10.1142/S1793557122501716 10.3934/math.2022723 10.1016/j.chaos.2024.114535 10.1007/s11784-020-00790-9 10.22541/au.158273394.45464645 10.1063/5.0036921 10.1016/j.jmaa.2005.10.081 10.1155/2009/197308 10.1007/s00500-020-05001-8 10.1080/01630563.2021.1937215 |
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| Keywords | Cyclic Meir-Keeler contraction Iterated function systems Best attractor |
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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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