\(\Delta^m\)-Statistical Convergence in Intuitionistic Fuzzy Metric Spaces

In this study, we propound statistical convergence and statistical Cauchy sequences for generalized difference sequences in intuitionistic fuzzy metric spaces and establish a Cauchy convergence criterion for this novel notion of convergence. Furthermore, we offer an exhaustive characterization of the mentioned notions of generalized difference sequences. Lastly, we discuss whether the phenomena should be further investigated.

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Publication Details

Journal
Communications in Mathematics and Applications
Published
2024-12-31
DOI
https://doi.org/10.26713/cma.v15i5.2750
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

\(\Delta^m\)-Statistical Convergence in Intuitionistic Fuzzy Metric Spaces

Ahmet ÖZCAN, Reena Antal, Aykut OR
Communications in Mathematics and Applications
Fixed Point Theorems Analysis
article

\(\Delta^m\)-Statistical Convergence in Intuitionistic Fuzzy Metric Spaces

Ahmet ÖZCAN, Reena Antal, Aykut OR
article en

Abstract

In this study, we propound statistical convergence and statistical Cauchy sequences for generalized difference sequences in intuitionistic fuzzy metric spaces and establish a Cauchy convergence criterion for this novel notion of convergence. Furthermore, we offer an exhaustive characterization of the mentioned notions of generalized difference sequences. Lastly, we discuss whether the phenomena should be further investigated.

Communications in Mathematics and ApplicationsVol. 15(5)
Chandigarh University (IN), Çanakkale Onsekiz Mart Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 60%
Fixed Point Theorems Analysis
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