On Convergence in Quaternion-Valued g-Metric Space

Authors : Saime Kolancı, Mehmet Gürdal, Ömer Kişi

Pages : 106-114

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Publication Date : 2024-11-25

Article Type : Research Paper

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.
Keywords : Genelleştirilmiş metrik uzaylar, kuaterniyon uzayı, istatistiksel yakınsaklık, güçlü toplanabilirlik