An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems

Nihal Taş

doi:10.33401/fujma.1623200

An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems

Abstract

Metric fixed-point theory has received a lot of recent attention. The Banach fixed-point theorem served as the foundation for this theory. This theorem's generalizations have been looked at using various methodologies. One of these entails generalizing the prevalent contractive condition, while the other involves generalizing the prevalent metric space. Numerous generalized metric spaces were defined in the literature for the second generalization. As a new generalization of both a metric and an $S$-metric space in this context, our major goal is to present the idea of a triple-composed $S$% -metric space. We also provide some fundamental and topological ideas about triple-composed $S$-metric space. We look into some of this idea's characteristics. On triple-composed $S$-metric spaces, we demonstrate various fixed-point theorems. Finally, we provide the system of linear equations with an application.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Nihal Taş ^*
0000-0002-4535-4019
Türkiye

Publication Date

September 30, 2025

Submission Date

January 19, 2025

Acceptance Date

September 22, 2025

Published in Issue

Year 2025 Volume: 8 Number: 3

DOI

https://doi.org/10.33401/fujma.1623200

IZ

https://izlik.org/JA68AU23MW

Cite

RIS / Bibtex

APA

Taş, N. (2025). An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems. Fundamental Journal of Mathematics and Applications, 8(3), 169-179. https://doi.org/10.33401/fujma.1623200

AMA

1.Taş N. An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems. Fundam. J. Math. Appl. 2025;8(3):169-179. doi:10.33401/fujma.1623200

Chicago

Taş, Nihal. 2025. “An Overview of Triple-Composed $S$-Metric Spaces With Few Fixed-Point Theorems”. Fundamental Journal of Mathematics and Applications 8 (3): 169-79. https://doi.org/10.33401/fujma.1623200.

EndNote

Taş N (September 1, 2025) An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems. Fundamental Journal of Mathematics and Applications 8 3 169–179.

IEEE

[1]N. Taş, “An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems”, Fundam. J. Math. Appl., vol. 8, no. 3, pp. 169–179, Sept. 2025, doi: 10.33401/fujma.1623200.

ISNAD

Taş, Nihal. “An Overview of Triple-Composed $S$-Metric Spaces With Few Fixed-Point Theorems”. Fundamental Journal of Mathematics and Applications 8/3 (September 1, 2025): 169-179. https://doi.org/10.33401/fujma.1623200.

JAMA

1.Taş N. An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems. Fundam. J. Math. Appl. 2025;8:169–179.

MLA

Taş, Nihal. “An Overview of Triple-Composed $S$-Metric Spaces With Few Fixed-Point Theorems”. Fundamental Journal of Mathematics and Applications, vol. 8, no. 3, Sept. 2025, pp. 169-7, doi:10.33401/fujma.1623200.

Vancouver

1.Nihal Taş. An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems. Fundam. J. Math. Appl. 2025 Sep. 1;8(3):169-7. doi:10.33401/fujma.1623200