ON GENERALIZED STATISTICAL CONVERGENCE IN QUATERNION VALUED GENERALIZED METRIC SPACES
Bulletin of Mathematical Analysis and Applications, vol.16, no.3, pp.28-44, 2024 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 16 Issue: 3
- Publication Date: 2024
- Doi Number: 10.54671/bmaa-2024-3-3
- Journal Name: Bulletin of Mathematical Analysis and Applications
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.28-44
- Keywords: Cauchy sequence, invariant convergence, quaternion valued g-metric space, λ-statistical convergence
- Süleyman Demirel University Affiliated: Yes
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 λ-statistically convergent sequences and λ-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.