Best proximity point theorems in non-Archimedean Menger probabilistic spaces

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dc.authorid0000-0002-4531-2783
dc.authorid0000-0003-4637-3139
dc.contributor.authorKaraaslan, Arife Aysunen_US
dc.contributor.authorKarakaya, Vatanen_US
dc.date.accessioned2025-07-25T11:51:07Z
dc.date.available2025-07-25T11:51:07Z
dc.date.issued2024
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.descriptionAcknowledgements. First author was supported by the Scientifc and Technological Research Council of Turkey (TUBITAK) Programme, 2211-A.en_US
dc.description.abstractIn this work, we prove best proximity point theorems for γ-contractions with conditions the weak P-property in non-Archimedean Menger probabilistic metric spaces. We give the notion of γ- proximal contractions of first and second type in non-Archimedean Menger probabilistic metric spaces and also we establish best proximity point theorems for these proximal contractions. Lastly, we complete our study by giving examples that support our results.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumuen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationKaraaslan, A. A. & Karakaya, V. (2024). Best proximity point theorems in non-Archimedean Menger probabilistic spaces. Kragujevac Journal of Mathematics, 48(3), 331-343. doi:10.46793/KgJMat2403.331Ken_US
dc.identifier.doi10.46793/KgJMat2403.331K
dc.identifier.endpage343
dc.identifier.issn1450-9628
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85196359396
dc.identifier.scopusqualityQ1
dc.identifier.startpage331
dc.identifier.urihttps://hdl.handle.net/11729/6582
dc.identifier.urihttp://dx.doi.org/10.46793/KgJMat2403.331K
dc.identifier.volume48
dc.identifier.wosWOS:001254298700001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorKaraaslan, Arife Aysunen_US
dc.institutionauthorid0000-0002-4531-2783
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherUniversity of Kragujevac, Faculty of Scienceen_US
dc.relation.ispartofKragujevac Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBest proximity pointen_US
dc.subjectFixed pointen_US
dc.subjectNon-Archimedean Menger probabilistic metric spaceen_US
dc.subjectγ-contractionen_US
dc.subjectNonlinear contractionsen_US
dc.subjectCommonen_US
dc.titleBest proximity point theorems in non-Archimedean Menger probabilistic spacesen_US
dc.typeArticleen_US
dspace.entity.typePublicationen_US

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