A new approach to fractals via best proximity point

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dc.authoridSahin, Hakan/0000-0002-4671-7950
dc.authoridASLANTAS, Mustafa/0000-0003-4338-3518
dc.authoridAltun, Ishak/0000-0002-7967-0554
dc.contributor.authorAltun, Ishak
dc.contributor.authorSahin, Hakan
dc.contributor.authorAslantas, Mustafa
dc.date.accessioned2025-01-21T16:35:02Z
dc.date.available2025-01-21T16:35:02Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we present a new approach to fractals through best proximity points, inspired by the remarkable relationship between fixed point theory and fractal theory. In this way, we introduce the concept of proximal IFS generated by a finite set of proximal contractions to expand the concept of IFS, one of the most common methods of creating fractals. Thus, as a new method of obtaining fractal we present a result showing that the proximal IFS has a unique best attractor under the certain conditions on metric spaces. To support our new result an illustrative example is given. (c) 2021 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2021.110850
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85103080058
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2021.110850
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24064
dc.identifier.volume146
dc.identifier.wosWOS:000647561300003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectFractals; Best proximity point; Iterated function systems; Fixed point
dc.titleA new approach to fractals via best proximity point
dc.typeArticle

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