ACTA MATHEMATICA SCIENTIA, cilt.34, ss.343-353, 2014 (SCI İndekslerine Giren Dergi)
In this article, we prove a decomposition theorem for I-2-convergent double sequences and introduce the notions of I-2-Cauchy and I-2(*)-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (I-2,I)-convergence and (I-2,I)-Cauchy double sequence.