Some New Double Sequence Spaces of Neutrosophic Real Numbers

Abstract

We reveal idea of some new double sequence spaces, namely, ideal convergence of double sequence spaces in neutrosophic normed spaces. With the help of neutrosophic norm,we wish to define ˆ ı2 - convergence and ˆ ı∗ 2 - convergence of double sequences in neutrosophic normed spaces. Several basic properties and characterization theorems of these concepts would be investigated in neutrosophic normed spaces. Our purpose is also to introduce ˆ ı2 - Cauchy and ˆ ı∗ 2 - Cauchy double sequences in neutrosophic normed spaces. We have investigated some of the characterization theorems in neutrosophic normed spaces.

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