I_2-Convergence and I_2-Cauchy double sequences

Abstract

In this article, we prove a decomposition theorem for I2-convergent double sequences and introduce the notions of I2-Cauchy and I 2 -Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (I2, I)- convergence and (I2, I)-Cauchy double sequence.