On statistical convergence in quasi-metric spaces
| dc.contributor.author | İlkhan, Merve | |
| dc.contributor.author | Kara, Emrah Evren | |
| dc.date.accessioned | 2020-04-30T23:20:04Z | |
| dc.date.available | 2020-04-30T23:20:04Z | |
| dc.date.issued | 2019 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description | Ilkhan, Merve/0000-0002-0831-1474 | en_US |
| dc.description | WOS: 000472069800001 | en_US |
| dc.description.abstract | A quasi-metric is a distance function which satisfies the triangle inequality but is not symmetric in general. Quasi-metrics are a subject of comprehensive investigation both in pure and applied mathematics in areas such as in functional analysis, topology and computer science. The main purpose of this paper is to extend the convergence and Cauchy conditions in a quasi-metric space by using the notion of asymptotic density. Furthermore, some results obtained are related to completeness, compactness and precompactness in this setting using statistically Cauchy sequences. | en_US |
| dc.identifier.doi | 10.1515/dema-2019-0019 | en_US |
| dc.identifier.endpage | 236 | en_US |
| dc.identifier.issn | 0420-1213 | |
| dc.identifier.issn | 2391-4661 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 225 | en_US |
| dc.identifier.uri | https://doi.org/10.1515/dema-2019-0019 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/3923 | |
| dc.identifier.volume | 52 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Sciendo | en_US |
| dc.relation.ispartof | Demonstratio Mathematica | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | quasi-metric space | en_US |
| dc.subject | asymptotic density | en_US |
| dc.subject | statistical convergence | en_US |
| dc.subject | forward and backward Cauchy sequences | en_US |
| dc.title | On statistical convergence in quasi-metric spaces | en_US |
| dc.type | Article | en_US |
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