Fixed point theorems to generalize FR- contraction mappings with application to nonlinear matrix equations

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dc.contributor.authorKhantwal, Deepak
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-21T07:49:28Z
dc.date.available2022-12-21T07:49:28Z
dc.date.issued2021
dc.description.abstractIn the present paper, we introduce the notion of generalize FR-contraction and establish some fixed point results for such mappings, which extend and generalize the result of Alam and Imdad (J. Fixed Point Theory & Appl., 17(4) (2015), 693-702), Sawangsup et al. (J. Fixed Point Theory, 2016 (2016), 1-15) and many others. Our results reveal that the assumption of M-closedness of underlying binary relation is not necessary condition for existence of fixed point in relational metric spaces. We also derive some N-order fixed point theorems from our main results. As an application of our main result, we find a solution of a certain class of nonlinear matrix equations.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage652tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage631tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.793098tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86261
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.793098tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectFixed point, contraction mapping, binary relation, k-continuous mappingtr_TR
dc.titleFixed point theorems to generalize FR- contraction mappings with application to nonlinear matrix equationstr_TR
dc.typeArticletr_TR

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Cilt:70 Sayı:02 (2021)