On Convergence in Quaternion-Valued g-Metric Space

Abstract

This study presents and investigates the notion of convergence for double sequences in the quaternion-valued g-metric space, as well as a review of certain fundamental features. Moreover, statistical convergence in this context is examined and defined in detail. The final section, focusing on the relationship between the statistical convergence of quaternion-valued g-metric spaces and strong summability, delves into this connection and discusses its implications.