Research Article

Statistical Convergence on b-Metric Spaces

Volume: 17 Number: 1 June 30, 2025
EN

Statistical Convergence on b-Metric Spaces

Abstract

This paper investigates the idea of statistical convergence in the context of $b$-metric spaces. As a generalization of classical metric spaces, $b$-metric spaces offer a useful structure to examine  the basic concepts of statistical convergence. The results indicate that b-metric spaces provide an impressive theoretical basis for both convergence theory and fixed point analysis.

Keywords

References

  1. Abazaria, R., Statistical Convergence in-Metric Spaces, Filomat, 36(5) (2022), 1461-1468.
  2. Bakhtin, I.A. , The contraction mapping principle in quasimetric spaces, Funct. Anal., Unianowsk Gos. Ped. Inst., 30(1989), 26-37.
  3. Bilalov, B., Nazarova, T., On statistical convergence in metric spaces , Journal of Mathematics Research, 7(1) (2015), 37.
  4. Czerwik, S., Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Univ. Modena, 46(1998), 263-276.
  5. Fast, H. , Sur la convergence statistique, Colloq. Math., 2(1951), 241-244.
  6. Fridy, J. A., On Statistical Convergence, Analysis, 5(1985), 301-313.
  7. İlkhan, M. and Kara, E. E., On statistical convergence in quasi-metric spaces , Demonstratio Mathematica, 52(1) (2019), 225-236.
  8. Karapınar, E., A Short Survey on the Recent Fixed Point Results on b-Metric Spaces, Constructive Mathematical Analysis, 1(1) (2018), 15-44.

Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Publication Date

June 30, 2025

Submission Date

May 28, 2025

Acceptance Date

June 24, 2025

Published in Issue

Year 2025 Volume: 17 Number: 1

APA
Yalçın, C. (2025). Statistical Convergence on b-Metric Spaces. Turkish Journal of Mathematics and Computer Science, 17(1), 275-281. https://doi.org/10.47000/tjmcs.1708269
AMA
1.Yalçın C. Statistical Convergence on b-Metric Spaces. TJMCS. 2025;17(1):275-281. doi:10.47000/tjmcs.1708269
Chicago
Yalçın, Ceylan. 2025. “Statistical Convergence on B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 17 (1): 275-81. https://doi.org/10.47000/tjmcs.1708269.
EndNote
Yalçın C (June 1, 2025) Statistical Convergence on b-Metric Spaces. Turkish Journal of Mathematics and Computer Science 17 1 275–281.
IEEE
[1]C. Yalçın, “Statistical Convergence on b-Metric Spaces”, TJMCS, vol. 17, no. 1, pp. 275–281, June 2025, doi: 10.47000/tjmcs.1708269.
ISNAD
Yalçın, Ceylan. “Statistical Convergence on B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 17/1 (June 1, 2025): 275-281. https://doi.org/10.47000/tjmcs.1708269.
JAMA
1.Yalçın C. Statistical Convergence on b-Metric Spaces. TJMCS. 2025;17:275–281.
MLA
Yalçın, Ceylan. “Statistical Convergence on B-Metric Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 1, June 2025, pp. 275-81, doi:10.47000/tjmcs.1708269.
Vancouver
1.Ceylan Yalçın. Statistical Convergence on b-Metric Spaces. TJMCS. 2025 Jun. 1;17(1):275-81. doi:10.47000/tjmcs.1708269

Cited By