INTRODUCTION TO STATISTICAL CONVERGENCES IN QUANTUM METRIC SPACES

Zengin G. G., SAVAŞ E.

Journal of Nonlinear and Convex Analysis, cilt.26, sa.8, ss.2533-2550, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 8
  • Basım Tarihi: 2025
  • Dergi Adı: Journal of Nonlinear and Convex Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.2533-2550
  • Anahtar Kelimeler: q-calculus, q-compactness, q-metric spaces, q-sepaxable metric space, statistical convergence
  • Uşak Üniversitesi Adresli: Evet

Özet

Metric spaces are assuming a progressively significant role in both mathematics and the applied sciences. In the recent times the concept of metric spaces are worked on generalizations of metric spaces. Quantum calculus, frequently known as calculus without limits, is analogous to standard infinitesimal calculus, lacking the idea of limits. In this paper, we introduce a generalized metric space in associate with quantum. We called this metric space by q-metric spaces. Several properties of q-metric spaces are discussed. Further, using the concept of natural density, we have introduced statistical convergence in q-metric space. Lastly, we find several results via the idea of statistical dense on q-metric spaces.