On G-continuity

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dc.authorid0000-0001-7344-5826en_US
dc.contributor.authorÇakallı, Hüseyin
dc.date.accessioned2024-07-12T20:55:44Z
dc.date.available2024-07-12T20:55:44Z
dc.date.issued2011en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractA function f on a topological space is sequentially continuous at a point u if, given a sequence (xn), limxn=u implies that limf(xn)=f(u). This definition was modified by Connor and Grosse-Erdmann for real functions by replacing lim with an arbitrary linear functional G defined on a linear subspace of the vector space of all real sequences. In this paper, we extend this definition to a topological group X by replacing G, a linear functional, with an arbitrary additive function defined on a subgroup of the group of all X-valued sequences and not only give new theorems in this generalized setting but also present theorems that have not been obtained for real functions so far.en_US
dc.identifier.citationÇakallı, H. (2011). On G-continuity. Computers & Mathematics with Applications. 61(2), s. 313-318.en_US
dc.identifier.doi10.1016/j.camwa.2010.11.006
dc.identifier.endpage318en_US
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-78651228578en_US
dc.identifier.startpage313en_US
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0898122110008552
dc.identifier.urihttps://doi.prg/10.1016/j.camwa.2010.11.006
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2885
dc.identifier.volume61en_US
dc.identifier.wosWOS:000287553400016en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇakallı, Hüseyin
dc.language.isoenen_US
dc.publisherScienceDirecten_US
dc.relation.ispartofComputers & Mathematics with Applicationsen_US
dc.relation.publicationcategoryUluslararası Editör Denetimli Dergide Makaleen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKY00558
dc.subjectSeriesen_US
dc.subjectSummabilityen_US
dc.subjectSequential closureen_US
dc.subjectG-sequential continuityen_US
dc.titleOn G-continuityen_US
dc.typeArticle
dspace.entity.typePublication

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