$\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed Spaces

Abstract

In this study, we introduced the concepts of $\mathcal{I}_2$-convergence and $\mathcal{I}_2^*$-convergence of double sequences of functions in $2$-normed space. Also, were studied some properties about these concepts and investigated relationships between them for double sequences of functions in $2$-normed spaces.

Keywords

• double sequences of functions
• 2-normed spaces
• $\mathcal{i}_2$-convergence
• $\mathcal{i}_2^*$-convergence