$\mathcal{I}_2$--Uniform Convergence of Double Sequences of Functions

Abstract

In this work, we discuss various kinds of $\mathcal{I}_2$-uniform convergence for double sequences of functions and introduce the concepts of $\mathcal{I}_2$ and $\mathcal{I}_2^*$-uniform convergence, $\mathcal{I}_2$ and $\mathcal{I}_2^*$-uniformly Cauchy sequences for double sequences of
functions. Then, we show the relation between them.