Bi-Metric Structures and Their Applications in Bitopological Contexts
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6526Keywords:
Bi-metric structures, Transformation theory, Stability principles, Functional analysis.Abstract
We introduce a novel mathematical framework for analyzing bitopological spaces through bi-metric structures. Our research establishes the theoretical underpinnings of coupled metric spaces configurations that inherently embrace bitopological structures while expanding conventional metric-based frameworks. We demonstrate key mathematical correspondences linking these bi-metric constructs to their generated topologies and furnish diverse contextual implementations. Our investigation examines completeness properties, stability characteristics, and develops systematic product structures within these frameworks. Furthermore, we identify significant relationships with functional-analytical principles, particularly regarding bi-normed spaces and quasimetric frameworks. The mathematical architecture we propose offers innovative perspectives on the interrelationships between metric frameworks and bitopological domains with implications for functional transformation theories, including practical applications in computer networks, image processing, and economic modeling.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Abdullah Alsoboh, Jamal Oudetallah, Ala Amourah, Raja’a Al-Naimi, Mohammed Al Hatmi, Wasim Audeh, Ahmad Almalkawi, Tala Sasa
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.