Manuharawati, Muhammad Jakfar, Ahmad Taufik Hamzah
This paper investigates the conditions for the equivalence between statistical convergence, ideal convergence, and standard convergence in G-metric spaces. Although statistical and ideal convergence studies have been extensively developed in various settings, no prior research has explicitly explored the relationship between statistical convergence and standard convergence within G-metric spaces. By addressing this gap, we establish necessary and sufficient conditions for the equivalence of these types of convergence in G-metric spaces. Our results contribute to a deeper understanding of the interplay between these convergence notions and extend the theory of convergence in generalized metric spaces. © 2025 The Author(s)
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Surabaya, Surabaya, Indonesia
