On $\mathcal{I}_2$-Cauchy Double Sequences in Fuzzy Normed Spaces

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