On I-concurrent class of sequences

Authors

Keywords:

I -convergence, I-Cauchy, I-concurrent relation

Abstract

In this paper, we demonstrate the $\mathcal{I}$-concurrent relation between sequences and the equivalence relations produced from it. A few unique features of these equivalence classes are investigated. Finally, we show that the collection of all such equivalence classes of all $\mathcal{I}$-convergent sequences under the $\mathcal{I}$-concurrent relation generates a metric space that is isometric with the set of all constant sequences.

Author Biography

Prasenjit Bal, The ICFAI University Tripura

Assistant Professor,

Department of Mathematics

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Published

2025-03-23

How to Cite

Rakshit, D., & Bal, P. (2025). On I-concurrent class of sequences. International Journal of Maps in Mathematics, 8(1), 35–42. Retrieved from https://simadp.com/journalmim/article/view/201