Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric

Şehla Eminoğlu

doi:10.47000/tjmcs.1567340

Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric

Abstract

In this paper, left (right) vector metric convergence and left (right) vector metric continuity are defined using the positive and negative parts of a vector-valued metric. These definitions and the obtained new results are applied to the Banach Contractive Mapping Theorem and examined within the framework of order structures, such as partially ordered sets, Archimedean spaces, and Dedekind complete spaces.

Keywords

References

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Nieto, J.J., Rodriguez-Lopez, R., Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order, 22(2005), 223–239.
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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Şehla Eminoğlu ^*
0000-0003-3143-9369
Türkiye

Publication Date

December 30, 2025

Submission Date

October 14, 2024

Acceptance Date

October 20, 2025

Published in Issue

Year 2025 Volume: 17 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1567340

IZ

https://izlik.org/JA25UJ58TW

Cite

RIS / Bibtex

APA

Eminoğlu, Ş. (2025). Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric. Turkish Journal of Mathematics and Computer Science, 17(2), 586-594. https://doi.org/10.47000/tjmcs.1567340

AMA

1.Eminoğlu Ş. Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric. TJMCS. 2025;17(2):586-594. doi:10.47000/tjmcs.1567340

Chicago

Eminoğlu, Şehla. 2025. “Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped With Vector Metric”. Turkish Journal of Mathematics and Computer Science 17 (2): 586-94. https://doi.org/10.47000/tjmcs.1567340.

EndNote

Eminoğlu Ş (December 1, 2025) Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric. Turkish Journal of Mathematics and Computer Science 17 2 586–594.

IEEE

[1]Ş. Eminoğlu, “Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric”, TJMCS, vol. 17, no. 2, pp. 586–594, Dec. 2025, doi: 10.47000/tjmcs.1567340.

ISNAD

Eminoğlu, Şehla. “Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped With Vector Metric”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 586-594. https://doi.org/10.47000/tjmcs.1567340.

JAMA

1.Eminoğlu Ş. Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric. TJMCS. 2025;17:586–594.

MLA

Eminoğlu, Şehla. “Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped With Vector Metric”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 586-94, doi:10.47000/tjmcs.1567340.

Vancouver

1.Şehla Eminoğlu. Banach Contractive Mapping Theorem on Partially Ordered Sets Equipped with Vector Metric. TJMCS. 2025 Dec. 1;17(2):586-94. doi:10.47000/tjmcs.1567340