A NEW METHOD FOR THE CONSTRUCTION OF FRACTALS VIA BEST PROXIMITY POINT THEORY

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dc.contributor.authorAslantas, Mustafa
dc.contributor.authorSahin, Hakan
dc.contributor.authorAltun, Ishak
dc.date.accessioned2025-01-21T16:35:05Z
dc.date.available2025-01-21T16:35:05Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, taking into account the P-property in the best proximity point theory, we present a new and interesting construction method that is different from the method given in [3] for fractals. First, we introduce the concept of a generalized iterated function system (in short GIFS) constructed by a finite family of lambda-contractions. Then, we present our main theorem in which sufficient conditions are determined to obtain a fractal which is also an attractor of the mentioned system. Finally, we support our results with some illustrative and attractive examples.
dc.description.sponsorshipAcknowledgement. The authors thank to the referee for his pertinent comments and suggestions which help us to improve the manuscript.
dc.identifier.doi10.24193/fpt-ro.2024.2.01
dc.identifier.endpage472
dc.identifier.issn1583-5022
dc.identifier.issn2066-9208
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85200556449
dc.identifier.scopusqualityQ2
dc.identifier.startpage459
dc.identifier.urihttps://doi.org/10.24193/fpt-ro.2024.2.01
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24076
dc.identifier.volume25
dc.identifier.wosWOS:001283553000001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHouse Book Science-Casa Cartii Stiinta
dc.relation.ispartofFixed Point Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectFractals; best proximity point; P-property; iterated function systems
dc.titleA NEW METHOD FOR THE CONSTRUCTION OF FRACTALS VIA BEST PROXIMITY POINT THEORY
dc.typeArticle

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