A NOTE ON ROUGH IDEAL CONVERGENCE OF DOUBLE SEQUENCES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 21 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2025.2102.8
Author :
Runu Dhar (Department of Mathematics, Maharaja Bir Bikram University, Agartala - 799004, Tripura, INDIA)
Arghyadip Debroy (Department of Mathematics, Maharaja Bir Bikram University, Agartala - 799004, Tripura, INDIA)
Binod Chandra Tripathy (Department of Mathematics, Tripura University, Agartala - 799022, Tripura, INDIA)

Abstract

In this article, we invent the notion of rough ideal convergence of double sequence spaces in neutrosophic normed spaces. We investigate some of its topological and algebraic properties of the newly defined concept in neutrosophic normed spaces. We reveal some characterization theorems of it in neutrosophic normed spaces. We also establish its relationships with other known sequence spaces.

Keywords and Phrases

Ideal convergence, rough convergence, double sequence space, neutrosophic normed space.

A.M.S. subject classification

03E72, 54A05, 54A40, 54J05.

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