Statistical convergence in g-metric spaces

TL;DR

This paper introduces the concept of statistical convergence within g-metric spaces, exploring its fundamental properties and extending the understanding of convergence in generalized metric contexts.

Contribution

It defines statistical convergence in g-metric spaces and investigates its basic properties, providing a new perspective on convergence in these generalized spaces.

Findings

Established the definition of statistical convergence in g-metric spaces

Analyzed basic properties of this convergence form

Extended classical convergence concepts to generalized metric spaces

Abstract

The purpose of this paper is to define statistically convergent sequences with respect to the metrics on generalized metric spaces (g-metric spaces) and investigate basic properties of this statistical form of convergence.