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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 1

Ideal convergence in 2-fuzzy 2-normed spaces

Mohammad H.M. RASHİD
Ljubisa D.R. KOCİNAC
Pages
149–162
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further, we define $\mathcal{I}$-limit and $\mathcal{I}$-cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions.
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Key Findings & Data:In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions.
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Conclusion & Impact:Further, we define $\mathcal{I}$-limit and $\mathcal{I}$-cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:2-fuzzy 2-norm · ideal convergence · ideal Cauchy sequence

Abstract

In this paper we introduce the notion of $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchyness of sequences in 2-fuzzy 2-normed spaces and established some basic results related to these notions. Further, we define $\mathcal{I}$-limit and $\mathcal{I}$-cluster points of a sequence in a 2-fuzzy 2-normed linear space and investigate the relations between these concepts.

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Cite This Article

RASHİD, M. H., KOCİNAC, L. D. (2022). Ideal convergence in 2-fuzzy 2-normed spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 149–162. https://ajindex.com/articles/530002

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References (1)

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