Some ideal convergence of double sequence spaces of neutrosophic real numbers

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 ?2-convergence and ?*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 ?2 - Cauchy and ?*2 - Cauchy double sequences in neutrosophic normed spaces. We have investigated some of the characterization theorems in neutrosophic normed spaces.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2508613d
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00
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article

Some ideal convergence of double sequence spaces of neutrosophic real numbers

Runu Dhar, Arghyadip Debroy
Filomat
Approximation Theory and Sequence Spaces
article

Some ideal convergence of double sequence spaces of neutrosophic real numbers

Runu Dhar, Arghyadip Debroy
article en

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 ?2-convergence and ?*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 ?2 - Cauchy and ?*2 - Cauchy double sequences in neutrosophic normed spaces. We have investigated some of the characterization theorems in neutrosophic normed spaces.

FilomatVol. 39(8)
Maharaja Bir Bikram University (IN)
Openalex Percentile: Top 80%
Approximation Theory and Sequence Spaces
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Some ideal convergence of double sequence spaces of neutrosophic real numbers — Runu Dhar, Arghyadip Debroy · Filomat (2025) | TGRS Research Map | TGRS