A NEW APPROACH TO HOMOTOPY THEORY VIA BEST PROXIMITY POINT

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dc.contributor.authorSahin, Hakan
dc.date.accessioned2026-02-12T21:05:40Z
dc.date.available2026-02-12T21:05:40Z
dc.date.issued2023
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractIn this paper, we extend the result of Romaguera [21] with the aid of best proximity point theory on partial metric spaces by considering the approach of Haghi et al. [9], and so celebrated Boyd-Wong fixed point theorem [7]. We first introduce two concepts called generalized proximal BW-contraction and generalized best BW-contraction. Then, we obtain some best proximity point theorems for such mappings. To illustrate the effectiveness of our results, we provide some nontrivial and interesting examples. Finally, unlike homotopy applications existing in the literature, we present for the first time an application of the best proximity result to the homotopy theory.
dc.identifier.doi10.18514/MMN.2023.3674
dc.identifier.endpage428
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85161093162
dc.identifier.scopusqualityQ2
dc.identifier.startpage411
dc.identifier.urihttps://doi.org/10.18514/MMN.2023.3674
dc.identifier.urihttps://hdl.handle.net/20.500.12885/7063
dc.identifier.volume24
dc.identifier.wosWOS:001000151200032
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260212
dc.subjectbest proximity point
dc.subjectBW -contractions
dc.subjecthomotopy theory
dc.titleA NEW APPROACH TO HOMOTOPY THEORY VIA BEST PROXIMITY POINT
dc.typeArticle

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