Bornological Semi Continuous Maps
Article Information
Abstract
In the current study, a new approach had been constructed to define new maps using the concept of bornological semi open and bornological semi closed sets, which includes sequential bornological semi continuous maps, bornological semi closed (open) maps, bornological strongly semi closed (open) maps, and bornological semi-irresolute closed (open) maps. We investigate and study the properties of these concepts.
Keywords
Data Availability Statement
Funding
Conflicts of Interest
Ethical Approval and Consent to Participate
References
- Hogbe-Nlend, H. (1977). Bornologies and functional analysis: introductory course on the theory of duality topology-bornology and its use in functional analysis (Vol. 26). Elsevier.
[Google Scholar] - Ameer, A. A., & Huda, A. (2019). Semi Compactness Space in Bornological Space. Diyala Journal for Pure Science, 15(4).
[CrossRef] [Google Scholar] - Al-Basri, F. K. (2017). On Semi –Complete Bornological Vector Space. Journal of AL-Qadisiyah for computer science and mathematics, 9(1), 40-48.
[Google Scholar] - Al-Basri, F. K. M. (2014). The Relationship Between Boronological Convergence of Net and Topological Convergence of Net. Journal of AL-Qadisiyah for computer science and mathematics, 6(2), 65-76.
[Google Scholar] - Levine, N. (1963). Semi-open sets and semi-continuity in topological spaces. The American mathematical monthly, 70(1), 36-41.
[CrossRef] [Google Scholar] - Neubrunnová, A. (1973). On certain generalizations of the notion of continuity. Matematický časopis, 23(4), 374-380.
[Google Scholar] - Marcus, S. (1961). Sur les fonctions quasicontinues au sens de S. Kempisty. In Colloquium Mathematicae (Vol. 8, No. 1, pp. 47-53).
[Google Scholar] - Balachandran, K. (1991). On generalized continuous maps in topological spaces. Mem. Fac. Sci. Kochi Univ. Ser. A Math., 12, 5-13.
[Google Scholar] - Cueva, M. C. (1995). Semi-generalized continuous maps in topological spaces. Portugaliae Mathematica, 52(4), 399-407.
[Google Scholar] - Al-Basri, F. K. (2018). Sequentially Bornological Compact Space. AL-Qadisiyah Journal of pure Science, 23(2).
[CrossRef] [Google Scholar]
Cite This Article
TY - JOUR AU - AL-Basri, Fatma Kamil PY - 2025 DA - 2025/08/04 TI - Bornological Semi Continuous Maps JO - ICCK Journal of Applied Mathematics T2 - ICCK Journal of Applied Mathematics JF - ICCK Journal of Applied Mathematics VL - 1 IS - 2 SP - 62 EP - 65 DO - 10.62762/JAM.2025.997630 UR - https://www.icck.org/article/abs/JAM.2025.997630 KW - bornological semi open map KW - bornological semi closed map KW - bornological semi continuous map AB - In the current study, a new approach had been constructed to define new maps using the concept of bornological semi open and bornological semi closed sets, which includes sequential bornological semi continuous maps, bornological semi closed (open) maps, bornological strongly semi closed (open) maps, and bornological semi-irresolute closed (open) maps. We investigate and study the properties of these concepts. SN - 3068-5656 PB - Institute of Central Computation and Knowledge LA - English ER -
@article{ALBasri2025Bornologic,
author = {Fatma Kamil AL-Basri},
title = {Bornological Semi Continuous Maps},
journal = {ICCK Journal of Applied Mathematics},
year = {2025},
volume = {1},
number = {2},
pages = {62-65},
doi = {10.62762/JAM.2025.997630},
url = {https://www.icck.org/article/abs/JAM.2025.997630},
abstract = {In the current study, a new approach had been constructed to define new maps using the concept of bornological semi open and bornological semi closed sets, which includes sequential bornological semi continuous maps, bornological semi closed (open) maps, bornological strongly semi closed (open) maps, and bornological semi-irresolute closed (open) maps. We investigate and study the properties of these concepts.},
keywords = {bornological semi open map, bornological semi closed map, bornological semi continuous map},
issn = {3068-5656},
publisher = {Institute of Central Computation and Knowledge}
}
Article Metrics
Publisher's Note
ICCK stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and Permissions
Copyright © 2025 by the Author(s). Published by Institute of Central Computation and Knowledge. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.