Rough convergence of sequences in a S-metric space

TL;DR

This paper extends the concept of rough convergence from normed linear spaces to S-metric spaces, exploring its fundamental properties and broadening the theoretical framework of convergence analysis.

Contribution

It introduces the notion of rough convergence in S-metric spaces, building on Phu's work, and discusses its basic properties in this new setting.

Findings

Established the definition of rough convergence in S-metric spaces.

Analyzed fundamental properties of rough convergence in this context.

Extended the theoretical understanding of convergence in generalized metric spaces.

Abstract

Phu introduced the idea of rough convergence of sequences in a normed linear space. Here using the idea of Phu we have brought the idea of rough convergence of sequences in a S-metric space and discussed some of its basic properties.