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On $\mathcal{i}_{2}$ and $\mathcal{i}_{2}^{\ast}$-convergence in almost surely of complex uncertain double sequences
Ö. Kişia, M. Gürdalb a Bartın University, Department of Mathematics, 74100, Bartın, Turkey
b Süleyman Demirel University,
Department of Mathematics, 32260, Isparta, Turkey
Abstract:
In this study, we investigate the notions of $\mathcal{I}_{2}$-convergence almost surely (a.s.) and $\mathcal{I}_{2}^{\ast }$-convergence a.s. of complex uncertain double sequences in an uncertainty space, and obtain some of their features and identify the relationships between them. In addition, we put forward the concepts of $\mathcal{I}_{2}$ and $\mathcal{I} _{2}^{\ast }$-Cauchy sequence a.s. of complex uncertain double sequences and investigate their relationships.
Keywords:
uncertainty theory, complex uncertain variable, $\mathcal{I}_{2}$-convergence, $\mathcal{I}_{2}^{\ast}$-convergence.
Received: 12.11.2022 Revised: 23.03.2023 Accepted: 23.02.2023
Citation:
Ö. Kişi, M. Gürdal, “On $\mathcal{i}_{2}$ and $\mathcal{i}_{2}^{\ast}$-convergence in almost surely of complex uncertain double sequences”, Probl. Anal. Issues Anal., 12(30):2 (2023), 51–67
Linking options:
https://www.mathnet.ru/eng/pa375 https://www.mathnet.ru/eng/pa/v30/i2/p51
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Abstract page: | 63 | Full-text PDF : | 20 | References: | 14 |
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