Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces

Ramazan Sunar

doi:10.47000/tjmcs.1803585

Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces

Abstract

In this study, the concept of statistical convergence in $\mathscr{A}$-metric spaces is revisited and generalized via $(V, \lambda)$-summability. Within this framework, the notions of $\lambda$-statistical convergence, $\lambda$-statistical $\mathscr{A}$-Cauchy sequences, and strongly $\mathscr{A}(V,\lambda)$-summable sequences in $\mathscr{A}$-metric spaces are introduced. Moreover, the relationships among these concepts are systematically examined.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Ramazan Sunar ^*
0000-0001-8107-5618
Türkiye

Publication Date

October 13, 2026

Submission Date

October 14, 2025

Acceptance Date

March 25, 2026

Published in Issue

Year 2026 Volume: 18 Number: 3

DOI

https://doi.org/10.47000/tjmcs.1803585

IZ

https://izlik.org/JA32PH74KE

Cite

RIS / Bibtex

APA

Sunar, R. (2026). Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces. Turkish Journal of Mathematics and Computer Science, 18(3), 800-809. https://doi.org/10.47000/tjmcs.1803585

AMA

1.Sunar R. Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces. TJMCS. 2026;18(3):800-809. doi:10.47000/tjmcs.1803585

Chicago

Sunar, Ramazan. 2026. “Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 18 (3): 800-809. https://doi.org/10.47000/tjmcs.1803585.

EndNote

Sunar R (October 1, 2026) Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces. Turkish Journal of Mathematics and Computer Science 18 3 800–809.

IEEE

[1]R. Sunar, “Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces”, TJMCS, vol. 18, no. 3, pp. 800–809, Oct. 2026, doi: 10.47000/tjmcs.1803585.

ISNAD

Sunar, Ramazan. “Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 800-809. https://doi.org/10.47000/tjmcs.1803585.

JAMA

1.Sunar R. Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces. TJMCS. 2026;18:800–809.

MLA

Sunar, Ramazan. “Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 800-9, doi:10.47000/tjmcs.1803585.

Vancouver

1.Ramazan Sunar. Investigations into $\lambda$-Statistical Convergence in $\mathscr{A}$-Metric Spaces. TJMCS. 2026 Oct. 1;18(3):800-9. doi:10.47000/tjmcs.1803585