- Communications in Advanced Mathematical Sciences
- Vol: 2 Issue: 2
- On $\mathcal{I}_2$-Cauchy Double Sequences in Fuzzy Normed Spaces
On $\mathcal{I}_2$-Cauchy Double Sequences in Fuzzy Normed Spaces
Authors : Erdinç Dundar, Muhammed Recai Türkmen
Pages : 154-160
View : 12 | Download : 6
Publication Date : 2019-06-27
Article Type : Research
Abstract :In this paper, we investigate relationship between $\mathcal{I}_2$-convergence and $\mathcal{I}_2$-Cauchy double sequences in fuzzy normed spaces. After, we introduce the concepts of $\mathcal{I}_2^{*}$-Cauchy double sequences and study relationships between $\mathcal{I}_2$-Cauchy and $\mathcal{I}_2^{*}$-Cauchy double sequences in fuzzy normed spaces.Keywords : Double sequences, $mathcal{I}_2$-convergence, $mathcal{I}_2$-Cauchy, Fuzzy normed space, $mathcal{I}_2$-convergence