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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2023 / Volume: 41 Issue: 6

New results on lacunary ideal convergence in fuzzy cone normed spaces

Ömer Kişi(Department of Mathematics, Bartın University, Bartın, 74100, Türkiye)0000-0001-6844-3092
Mehmet Gürdal(Department of Mathematics, Süleyman Demirel University, Isparta, 32260, Türkiye)0000-0003-0866-1869
Pages
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Publication Date
2023-12-29
DOI
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AI Summary & Key Takeaways

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

Furthermore, la-cunary Cauchy and lacunary 𝐼-Cauchy sequences in FCNS are presented and relationships between them are studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, some existing theories on convergence of sequences in fuzzy cone normed space (FCNS in short) are extended to lacunary ideal convergence in FCNS.
📊
Key Findings & Data:An original concept, named lacunary convergence of sequence in FCNS, is investigated.
💡
Conclusion & Impact:Furthermore, la-cunary Cauchy and lacunary 𝐼-Cauchy sequences in FCNS are presented and relationships between them are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lacunary Ideal Convergence · Lacunary I-Limit Points · Lacunary I-Cluster Points

Abstract

In this paper, some existing theories on convergence of sequences in fuzzy cone normed space (FCNS in short) are extended to lacunary ideal convergence in FCNS. An original concept, named lacunary convergence of sequence in FCNS, is investigated. Also, lacunary 𝐼-limit points and lacunary 𝐼-cluster points of sequences in FCNS are examined. Furthermore, la-cunary Cauchy and lacunary 𝐼-Cauchy sequences in FCNS are presented and relationships between them are studied.

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Cite This Article

Kişi, Ö., Gürdal, M. (2023). New results on lacunary ideal convergence in fuzzy cone normed spaces. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 41 Issue: 6. https://ajindex.com/articles/1344599

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