On statistical convergence of metric valued sequences

TL;DR

This paper investigates the conditions under which sequences in metric spaces statistically converge, explores their subsequences, and examines the relationship between statistical and traditional convergence modes.

Contribution

It provides new insights into the interplay between statistical and usual convergence in metric spaces, expanding understanding of convergence behaviors.

Findings

Established criteria for statistical convergence in metric spaces

Analyzed the relationship between statistical and traditional convergence

Explored subsequences and their convergence properties

Abstract

We study the statistical convergence of metric valued sequences and of their subsequences. The interplay between the statistical and usual convergences in metric spaces is also studied.