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.
Highlights
Introduction and Literature ReviewStatistical convergence for real sequence was rst introduced by Fast [4] in 1951
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 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 examine their some properties
Summary
Introduction and Literature ReviewStatistical convergence for real sequence was rst introduced by Fast [4] in 1951. We introduce studying I-Cauchy and I-convergence concepts of triple sequences on FMS. When every Cauchy sequence is convergent, a FMS is called to be complete.
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