Best proximity and best periodic points for proximal nonunique contractions

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dc.authoridAltun, İshak/0000-0002-7967-0554
dc.contributor.authorŞahin, Hakan
dc.contributor.authorAslantaş, Mustafa
dc.contributor.authorAltun, İshak
dc.date.accessioned2025-01-21T16:36:07Z
dc.date.available2025-01-21T16:36:07Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractTaking into account nonunique fixed point and periodic point results of Ciric (Institut Mathematique 17, 52-58, 1974) and best proximity point results in the literature, we introduce the concept of proximal nonunique contraction for nonself mappings. Then, we obtain some nonunique best proximity point theorems. Further, we describe the concept of best periodic point of nonself mappings and we present some nonunique best periodic point results. We also provide many examples to show that our new concepts are meaningful and to support our theorems. Additionally, we present a new notion for the nonself mapping H called property P-b, and then we provide some results including sufficient conditions to guarantee that H has the property P-b.
dc.identifier.doi10.1007/s11784-021-00889-7
dc.identifier.issn1661-7738
dc.identifier.issn1661-7746
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85113650078
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s11784-021-00889-7
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24262
dc.identifier.volume23
dc.identifier.wosWOS:000691001800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofJournal of Fixed Point Theory and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectBest proximity point; best periodic point; nonunique contraction; complete metric space
dc.titleBest proximity and best periodic points for proximal nonunique contractions
dc.typeArticle

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