ON GENERALIZED STATISTICAL CONVERGENCE IN QUATERNION VALUED GENERALIZED METRIC SPACES

Abstract

We present and explore the concept of a quaternion-valued gmetric space with specific foundational properties related to convergence in this study. The main goal of this study is to introduce )-statistically convergent sequences and )-statistically g-Cauchy sequences, examining their properties within quaternion-valued g-metric spaces. The research also includes discussions on natural inclusion theorems relevant to these concepts.