Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology
| Autor: | Rasoul Abazari |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Discrete mathematics
Statistical Cauchy sequence Degree (graph theory) Statistical convergence Generalization Applied Mathematics 010102 general mathematics Probabilistic logic Probabilistic metric space Space (mathematics) Generalized metric space 01 natural sciences Strong topology (polar topology) Cauchy sequence 010101 applied mathematics Metric space Strong topology QA1-939 Discrete Mathematics and Combinatorics Natural density 0101 mathematics Mathematics Analysis |
| Zdroj: | Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-11 (2021) |
| ISSN: | 1029-242X |
| Popis: | In this paper, the concept of probabilisticg-metric space with degreel, which is a generalization of probabilisticG-metric space, is introduced. Then, by endowing strong topology, the definition ofl-dimensional asymptotic density of a subsetAof$\mathbb{N}^{l}$Nlis used to introduce a statistically convergent and Cauchy sequence and to study some basic facts. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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