ON $I$-STATISTICAL CONVERGENCE IN $G$-METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 26

Volume : 21 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2025.2101.3
Author :
Rupanjali Goswami (Department of Mathematics, Cotton University, Panbazar, Guwahati, Assam - 781001, INDIA)
Binod Chandra Tripathy (Department of Mathematics, Tripura University, Tripura, Agartala - 799022, INDIA)

Abstract

This paper deals with the introduction of the concept of ideal convergence of sequences in generalized metric spaces. Since the investigation in the $G$-metric space deals with two sequences, so the ideal considered is that of $N \mathrm{x} N$. We have investigated some basic properties of the introduced notion.

Keywords and Phrases

Ideal, $G$-metric space, $I$-Cauchy.

A.M.S. subject classification

40A05, 40A35, 46E30.

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