Ciric 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.accessioned2025-01-21T16:36:34Z
dc.date.available2025-01-21T16:36:34Z
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 Ciric [8], for nonunique cyclic contractions. We also provide some illustrative and comparative examples to support our results.
dc.identifier.doi10.37193/CJM.2022.02.04
dc.identifier.endpage326
dc.identifier.issn1584-2851
dc.identifier.issn1843-4401
dc.identifier.issue2
dc.identifier.startpage315
dc.identifier.urihttps://doi.org/10.37193/CJM.2022.02.04
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24335
dc.identifier.volume38
dc.identifier.wosWOS:000761969800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherNorth Univ Baia Mare
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 proximity point; best cyclic periodic point; nonunique contraction
dc.titleCiric type cyclic contractions and their best cyclic periodic points
dc.typeArticle

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