Best proximity point theory on vector metric spaces

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dc.contributor.authorŞahin, Hakan
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-29T14:04:52Z
dc.date.available2021-11-29T14:04:52Z
dc.date.issued2021-06-30
dc.description.abstractIn this paper, we first give a new definition of Ω-Dedekind complete Riesz space (E,≤) in the frame of vector metric space (Ω,ρ,E) and we investigate the relation between Dedekind complete Riesz space and our new concept. Moreover, we introduce a new contraction so called α-vector proximal contraction mapping. Then, we prove certain best proximity point theorems for such mappings in vector metric spaces (Ω,ρ,E) where (E,≤) is Ω-Dedekind complete Riesz space. Thus, for the first time, we acquire best proximity point results on vector metric spaces. As a result, we generalize some fixed point results proved in both vector metric spaces and partially ordered vector metric spaces such as main results of V4. Further, we provide nontrivial and comparative examples to show the effectiveness of our main results.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage142tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage130tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.780723tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76451
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.780723tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectBest proximity pointtr_TR
dc.subjectα-admissibletr_TR
dc.subjectProximal contractiontr_TR
dc.titleBest proximity point theory on vector metric spacestr_TR
dc.typeArticletr_TR

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