ON GENERALIZED STATISTICAL CONVERGENCE IN QUATERNION VALUED GENERALIZED METRIC SPACES
Bulletin of Mathematical Analysis and Applications, cilt.16, sa.3, ss.28-44, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.54671/bmaa-2024-3-3
- Dergi Adı: Bulletin of Mathematical Analysis and Applications
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.28-44
- Anahtar Kelimeler: Cauchy sequence, invariant convergence, quaternion valued g-metric space, λ-statistical convergence
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.