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Research Article | Open Access

Double sequences with ideal convergence in fuzzy metric spaces

Department of Mathematics, Çanakkale Onsekiz Mart University, Çanakkale, 17020, Türkiye
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Abstract

We show ideal convergence ( I-convergence), ideal Cauchy ( I-Cauchy) sequences, I ∗ -convergence and I ∗ -Cauchy sequences for double sequences in fuzzy metric spaces. We define the I-limit and I-cluster points of a double sequence in these spaces. Afterward, we provide certain fundamental properties of the aspects. Lastly, we discuss whether the phenomena should be further investigated.

Keywords

double sequencesideal convergenceideal Cauchy sequencelimit pointfuzzy metric space
CLC number: 40A05, 40A35

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 28090-28104
DOI: 10.3934/math.20231437

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Or A. Double sequences with ideal convergence in fuzzy metric spaces. AIMS Mathematics, 2023, 8(11): 28090-28104. https://doi.org/10.3934/math.20231437

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Received: 01 June 2023
Revised: 06 September 2023
Accepted: 06 September 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)