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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 1

An investigation on the triple ideal convergent sequences in fuzzy metric spaces

Mehmet Gürdal(Süleyman Demirel University)0000-0003-0866-1869
Ekrem Savaş(USAK UNIVERSITY)0000-0003-2135-3094
Sayfa
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Yayın Tarihi
2022-03-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this study we also present the concept of ideal convergence for triple sequences in fuzzy metric spaces (FMS) in the manner of George and Veeramani and the terms of ideal Cauchy sequence and $I^{∗}$-Cauchy sequence in FMS and study their certain properties.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The notion of ideal convergence is a process of generalizing of statistical convergence which is dependent on the idea of the ideal $I$ of subsets of the set positive integer numbers.
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Temel Bulgular & Veri:The notion of ideal convergence is a process of generalizing of statistical convergence which is dependent on the idea of the ideal $I$ of subsets of the set positive integer numbers.
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Sonuç & Katkı:In this study we also present the concept of ideal convergence for triple sequences in fuzzy metric spaces (FMS) in the manner of George and Veeramani and the terms of ideal Cauchy sequence and $I^{∗}$-Cauchy sequence in FMS and study their certain properties.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ideal Cauchy sequence · fuzzy metric · triple sequence

Abstract

The notion of ideal convergence is a process of generalizing of statistical convergence which is dependent on the idea of the ideal $I$ of subsets of the set positive integer numbers. In this study we also present the concept of ideal convergence for triple sequences in fuzzy metric spaces (FMS) in the manner of George and Veeramani and the terms of ideal Cauchy sequence and $I^{∗}$-Cauchy sequence in FMS and study their certain properties.

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Bu Makaleye Atıf Yap

Gürdal, M., Savaş, E. (2022). An investigation on the triple ideal convergent sequences in fuzzy metric spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 1. https://doi.org/10.31801/cfsuasmas.890982

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