On ideal convergence of double sequences in neutrosophic normed spaces

Abstract

In this paper, we introduce the notion of I2 and I∗2−convergence of double sequences in neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties and study the relationship between the two notions. We also introduce and investigate the concept of I2 and I∗2−Cauchy sequence of double sequences and show that the condition (AP2) plays a crucial role to study the interrelationship between them.