On statistical convergence in quasi-metric spaces
| Autor: | Emrah Evren Kara, Merve İlkhan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
40g15
General Mathematics 010102 general mathematics quasi-metric space 54e50 Statistical convergence 01 natural sciences 010101 applied mathematics Metric space forward and backward Cauchy sequences QA1-939 Natural density Applied mathematics statistical convergence p54a05 0101 mathematics Mathematics asymptotic density |
| Zdroj: | Demonstratio Mathematica, Vol 52, Iss 1, Pp 225-236 (2019) |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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