?iri? type cyclic contractions and their best cyclic periodic points

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dc.contributor.authorAslantas, Mustafa
dc.contributor.authorSahin, Hakan
dc.contributor.authorAltun, Ishak
dc.date.accessioned2025-01-21T16:27:06Z
dc.date.available2025-01-21T16:27:06Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn the present paper, by introducing a new notion named as nonunique cyclic contractions, we give some best proximity point results for such mappings. Then, we indicate the shortcoming of the concept of best periodic proximity point which is defined for cyclic mapping by giving a simple example. To overcome this deficiency, we give a more suitable definition named as best cyclic periodic point. Finally, we obtain some best cyclic periodic point theorems, including the famous periodic point result of ?iri? [8], for nonunique cyclic contractions. We also provide some illustrative and comparative examples to support our results. © 2022, SINUS Association. All rights reserved.
dc.identifier.doi10.37193/CJM.2022.02.04
dc.identifier.endpage326
dc.identifier.issn1584-2851
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85126527629
dc.identifier.scopusqualityQ1
dc.identifier.startpage315
dc.identifier.urihttps://doi.org/10.37193/CJM.2022.02.04
dc.identifier.urihttps://hdl.handle.net/20.500.12587/23264
dc.identifier.volume38
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSINUS Association
dc.relation.ispartofCarpathian Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectBest cyclic periodic point; Best proximity point; Nonunique contraction
dc.title?iri? type cyclic contractions and their best cyclic periodic points
dc.typeArticle

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