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Research Article

Modular metric contraction principles for systems of linear equations

Danny Mukonda^1*, Anthony Katakwe², Edwin Moyo¹, Levy Matindih¹, Obvious Hamweene¹, Paul Musonda¹, Chenjelani Mwale¹, Kafunda Tuesday²

¹Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
²Department of Applied Sciences, Eden University, Lusaka, Zambia

* Corresponding Author. Email: [email protected]

ARTICLE INFO

Journal: International Journal of Advances in Applied Mathematics and Mechanics (IJAAMM)

Volume: 13 | Issue: 4 | Pages: 22–31

Issue date: June 2026

License: Open Access (CC BY-NC-ND 3.0)

DOI: 10.26541/ijaamm.2026.130403

ARTICLE HISTORY

Received: 14 January 2026

Revised: 15 March 2026

Accepted: 18 March 2026

Published online: March 2026

Download PDF View DOI Download Citation (BibTeX)

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Abstract

In this study, we analyze the fixed point theory using modular metric contraction principles to determine the existence and uniqueness of solutions of system of equations and linear differential equations using the Picards existence theorem. The results of this research are expected to significantly contribute to the fixed point theory and stimulate further exploration in applied mathematics and theoretical computer science, creating a way for innovative methodologies and applications of modular metric contraction principles.

Keywords

Modular metric • Unique solution • System of linear equations • Linear differential equations (ODE’s)

MSC (2020)

15B07 • 34B31 • 34B35

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How to Cite

Mukonda, D. et al. (2026). Modular metric contraction principles for systems of linear equations. International Journal of Advances in Applied Mathematics and Mechanics, 13(4), 22–30. https://doi.org/10.26541/ijaamm.2026.130403

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© 2026 The Author(s). This article is distributed under the Creative Commons Attribution NonCommercial NoDerivatives License.

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