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dc.contributor.authorÖzer, Özen
dc.contributor.authorOmran, Saleh
dc.date.accessioned2021-12-12T17:01:11Z
dc.date.available2021-12-12T17:01:11Z
dc.date.issued2017
dc.identifier.issn2313-626X
dc.identifier.issn2313-3724
dc.identifier.urihttps://doi.org/10.21833/ijaas.2017.02.006
dc.identifier.urihttps://hdl.handle.net/20.500.11857/3101
dc.description.abstractThe Banach contraction principle, which shows that every contractive mapping has a unique fixed point in a complete metric space, has been extended in many directions. One of the branches of this theory is devoted to the study of fixed points. Especially, Fixed point theory in C*- algebra valued metric spaces has greatly developed in recent times. Also, we study on generalized C*- algebra valued metric space and give some examples, the idea of this metric is to replace the set of real numbers by the positive cone C*- algebras, the set of positive elements on the C*- algebras the notation introduced recently. Also, we prove certain fixed-point theorem for a single-valued mapping in such spaces. The mapping we consider here is assumed to satisfy certain D-metric conditions with generalized fixed-point theorem. Moreover, the paper provides an application to prove the existence and uniqueness of fixed points. (C) 2017 The Authors. Published by IASE.en_US
dc.language.isoengen_US
dc.publisherInst Advanced Science Extensionen_US
dc.relation.ispartofInternational Journal of Advanced and Applied Sciencesen_US
dc.identifier.doi10.21833/ijaas.2017.02.006
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFixed point theoryen_US
dc.subjectC*- algebraen_US
dc.subjectPositive coneen_US
dc.titleOn the generalized C*- valued metric spaces related with Banach fixed point theoryen_US
dc.typearticle
dc.authoridOZER, Ozen/0000-0001-6476-0664
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.identifier.volume4en_US
dc.identifier.startpage35en_US
dc.identifier.issue2en_US
dc.identifier.endpage37en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosWOS:000397422500006en_US
dc.authorwosidOZER, Ozen/ABB-9945-2020


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