تقرير
On strong $\mathcal{A}^{\mathcal{I}}$-statistical convergence of sequences in probabilistic metric spaces
| العنوان: | On strong $\mathcal{A}^{\mathcal{I}}$-statistical convergence of sequences in probabilistic metric spaces |
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| المؤلفون: | Malik, Prasanta, Das, Samiran |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis |
| الوصف: | In this paper using a non-negative regular summability matrix $\mathcal{A}$ and a non-trivial admissible ideal $\mathcal{I}$ in $\mathbb{N}$ we study some basic properties of strong $\mathcal{A}^{\mathcal{I}}$-statistical convergence and strong $\mathcal{A}^{\mathcal{I}}$-statistical Cauchyness of sequences in probabilistic metric spaces not done earlier. We also introduce strong $\mathcal{A}^{\mathcal{I^*}}$-statistical Cauchyness in probabilistic metric space and study its relationship with strong A$\mathcal{A}^{\mathcal{I}}$-statistical Cauchyness there. Further, we study some basic properties of strong $\mathcal{A}^{\mathcal{I}}$-statistical limit points and strong $\mathcal{A}^{\mathcal{I}}$-statistical cluster points of a sequence in probabilistic metric spaces. Comment: arXiv admin note: substantial text overlap with arXiv:2204.02727, arXiv:2007.09173 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2208.03010 |
| رقم الأكسشن: | edsarx.2208.03010 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |