A New Type of F-Contraction and Their Best Proximity Point Results with Homotopy Application

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dc.authorid0000-0002-4671-7950en_US
dc.contributor.authorŞahin, Hakan
dc.date.accessioned2022-08-09T11:53:28Z
dc.date.available2022-08-09T11:53:28Z
dc.date.issued2022en_US
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present paper, we aim to extend and unify the results obtained for the multivalued F-contractions, which have been frequently studied recently, in a different way from the results in the literature without using the Pompeiu-Hausdorff metric. Hence, we first introduce a new class of multivalued mappings that includes multivalued F-contractions. Then, we obtain some best proximity point results for new kind of F-contraction mappings. Thus, we unify and improve many results in the literature. To see this fact, we give some nontrivial and interesting examples. Also, considering the strong relationship between homotopy theory and various branches of mathematics, we obtain an application to homotopy theory of our main result.en_US
dc.identifier.doi10.1007/s10440-022-00496-9
dc.identifier.issn1572-9036
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85130752414
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://hdl.handle.net/20.500.12885/2039
dc.identifier.volume179en_US
dc.identifier.wosWOS:000800562200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞahin, Hakan
dc.language.isoenen_US
dc.publisherSPRINGERen_US
dc.relation.ispartofACTA APPLICANDAE MATHEMATICAEen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBest proximity pointen_US
dc.subjectFixed pointen_US
dc.subjectF-contractionen_US
dc.subjectMultivalued mappingsen_US
dc.subjectHomotopyen_US
dc.titleA New Type of F-Contraction and Their Best Proximity Point Results with Homotopy Application
dc.typeArticle

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