On $\mathcal I$ and $\mathcal I^*$-equal convergence in linear $2$-normed spaces

TL;DR

This paper explores the concepts of $\\mathcal{I}$ and $\ ext{\mathcal{I}^*}$-equal convergence in linear 2-normed spaces, analyzing their properties and interrelations.

Contribution

It introduces and examines the properties of $\\mathcal{I}$ and $\ ext{\mathcal{I}^*}$-equal convergence, establishing their relationship in linear 2-normed spaces.

Findings

Characterization of $\\mathcal{I}$-equal convergence properties

Analysis of $\\mathcal{I}^*$-equal convergence features

Relationship established between $\\mathcal{I}$ and $\\mathcal{I}^*$-convergence

Abstract

In this paper we study the notion of $\mathcal{I}$ and $\mathcal{I^*}$-equal convergence in linear 2-normed spaces and some of their properties. We also establish the relationship between them.