On the geometry of fixed points of self-mappings on S-metric spaces

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dc.contributor.authorÖzgür, Nihal
dc.contributor.authorTaş, Nihal
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-23T08:55:06Z
dc.date.available2021-11-23T08:55:06Z
dc.date.issued2020-12-31
dc.description.abstractIn this paper, we focus on some geometric properties related to the set Fix(T), the set of all fixed points of a mapping T:X→X, on an S-metric space (X,S). For this purpose, we present the notions of an S-Pata type x₀-mapping and an S-Pata Zamfirescu type x₀-mapping. Using these notions, we propose new solutions to the fixed circle (resp. fixed disc) problem. Also, we give some illustrative examples of our main results. In this paper, we give new solutions to the fixed circle (resp. fixed disc) problem on S-metric spaces. In Section 2, we prove some fixed circle and fixed disc results using different approaches. In Section 3, we give some illustrative examples of our obtained results and deduce some important remarks. In Section 4, we summarize our study and recommend some future works.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage1192tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue2tr_TR
dc.identifier.startpage1184tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.616325tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76230
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.616325tr_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.subjectS -metric spacetr_TR
dc.subjectFixed circletr_TR
dc.subjectS -Pata type x 0 -mappingtr_TR
dc.titleOn the geometry of fixed points of self-mappings on S-metric spacestr_TR
dc.typeArticletr_TR

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