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Some Results on Exhaustiveness in Asymmetric Metric Spaces

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dc.creator TOYGANÖZÜ, Zeynep Hande
dc.creator PEHLİVAN, Serpil
dc.date 2014-12-31T22:00:00Z
dc.date.accessioned 2020-10-06T09:49:04Z
dc.date.available 2020-10-06T09:49:04Z
dc.identifier 449fa0d1-21e3-4aa6-a680-9d03a16182e6
dc.identifier 10.2298/fil1501183t
dc.identifier https://avesis.sdu.edu.tr/publication/details/449fa0d1-21e3-4aa6-a680-9d03a16182e6/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/58757
dc.description We introduce here the notion of exhaustiveness, which is related with the notion of equicontinuity, in asymmetric metric spaces. We give the relation between equicontinuity and exhaustiveness in such spaces and some theorems and results about it. We show that in the asymmetric situation forward convergence does not imply backward convergence (or vice versa), the limit of a sequence of exhaustive functions may not be continuous, also may not be unique. Also, we prove a type of Ascoli theorem using the notion of exhaustiveness in the asymmetric case. Finally, following Caserta and Kocinac [3], we will investigate some properties of a statistical version of exhaustiveness in asymmetric metric spaces.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Some Results on Exhaustiveness in Asymmetric Metric Spaces
dc.type info:eu-repo/semantics/article


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