Banach contraction principle in cone modular spaces with banach algebra

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dc.contributor.authorÖzavşar, Muttalip
dc.contributor.authorÇay, Hatice
dc.date.accessioned2023-09-19T11:29:15Z
dc.date.available2023-09-19T11:29:15Z
dc.date.issued17.09.2019en_US
dc.departmentSeçinizen_US
dc.description.abstractThere are some mappings, which are not contraction mappings in the usual senses, such that they hold some contractive type conditions in the settings of some new abstract metric and modular spaces. In this paper, taking into account this fact, we introduce such a new type modular space by using the setting of cones in Banach algebras. In the first section, some basic notions and definitions are given. In the second part, it is shown that some result of Banach Contraction Principle in modular space with C-algebra is equal to the result of Banach Contraction Principle of the usual modular space. Then that new modular space mentioned above is introduced and some results are given. Finally the work is concluded with an example.en_US
dc.description.abstractThere are some mappings, which are not contraction mappings in the usual senses, such that they hold some contractive type conditions in the settings of some new abstract metric and modular spaces. In this paper, taking into account this fact, we introduce such a new type modular space by using the setting of cones in Banach algebras. In the first section, some basic notions and definitions are given. In the second part, it is shown that some result of Banach Contraction Principle in modular space with C-algebra is equal to the result of Banach Contraction Principle of the usual modular space. Then that new modular space mentioned above is introduced and some results are given. Finally the work is concluded with an example.en_US
dc.identifier.citationÖzavşar, M. & Çay, H. (2019). Banach Cebirli Koni Modüler Uzaylarda Banach Büzülme Prensibi . Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi , 19 (2) , 335-342 . Retrieved from https://dergipark.org.tr/tr/pub/akufemubid/issue/48783/523747en_US
dc.identifier.doi10.35414/akufemubid.523747
dc.identifier.endpage342en_US
dc.identifier.issue2en_US
dc.identifier.orcid0000-0001-2345-6789en_US
dc.identifier.orcid0000-0003-3965-1049en_US
dc.identifier.startpage335en_US
dc.identifier.urihttps://dergipark.org.tr/tr/download/article-file/807822
dc.identifier.urihttps://hdl.handle.net/11630/11099
dc.identifier.volume19en_US
dc.language.isoen
dc.publisherAfyon Kocatepe Üniversitesien_US
dc.relation.ispartofFen ve Mühendislik Bilimleri Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Başka Kurum Yazarıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModular Spaceen_US
dc.subjectBanach Algebraen_US
dc.subjectFixed Point Theoremen_US
dc.subject∆ 2conditionen_US
dc.subjectModüler Uzayen_US
dc.subjectBanach Cebirien_US
dc.subjectSabit Nokta Teoremien_US
dc.subject∆ 2-koşuluen_US
dc.titleBanach contraction principle in cone modular spaces with banach algebraen_US
dc.title.alternativeBanach cebirli koni modüler uzaylarda banach büzülme prensibien_US
dc.typeArticle

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