-
CiteScore
-
Impact Factor
Volume 1, Issue 2, ICCK Journal of Applied Mathematics
Volume 1, Issue 2, 2025
Submit Manuscript Edit a Special Issue
Article QR Code
Article QR Code
Scan the QR code for reading
Popular articles
ICCK Journal of Applied Mathematics, Volume 1, Issue 2, 2025: 62-65

Open Access | Research Article | 04 August 2025
Bornological Semi Continuous Maps
1 Department of Mathematics, College of Education, University of Al-Qadisiyah, Al-Diwaniyah 58001, Iraq
* Corresponding Author: Fatma Kamil AL-Basri, [email protected]
Received: 18 June 2025, Accepted: 11 July 2025, Published: 04 August 2025  
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

Data Availability Statement
Not applicable.

Funding
This work was supported without any funding.

Conflicts of Interest
The author declares no conflicts of interest.

Ethical Approval and Consent to Participate
Not applicable.

References
  1. 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]
  2. Ameer, A. A., & Huda, A. (2019). Semi Compactness Space in Bornological Space. Diyala Journal for Pure Science, 15(4).
    [CrossRef]   [Google Scholar]
  3. 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]
  4. 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]
  5. Levine, N. (1963). Semi-open sets and semi-continuity in topological spaces. The American mathematical monthly, 70(1), 36-41.
    [CrossRef]   [Google Scholar]
  6. Neubrunnová, A. (1973). On certain generalizations of the notion of continuity. Matematický časopis, 23(4), 374-380.
    [Google Scholar]
  7. Marcus, S. (1961). Sur les fonctions quasicontinues au sens de S. Kempisty. In Colloquium Mathematicae (Vol. 8, No. 1, pp. 47-53).
    [Google Scholar]
  8. Balachandran, K. (1991). On generalized continuous maps in topological spaces. Mem. Fac. Sci. Kochi Univ. Ser. A Math., 12, 5-13.
    [Google Scholar]
  9. Cueva, M. C. (1995). Semi-generalized continuous maps in topological spaces. Portugaliae Mathematica, 52(4), 399-407.
    [Google Scholar]
  10. Al-Basri, F. K. (2018). Sequentially Bornological Compact Space. AL-Qadisiyah Journal of pure Science, 23(2).
    [CrossRef]   [Google Scholar]

Cite This Article
APA Style
AL-Basri, F. K. (2025). Bornological Semi Continuous Maps. ICCK Journal of Applied Mathematics, 1(2), 62-65. https://doi.org/10.62762/JAM.2025.997630

Article Metrics
Citations:

Crossref

0

Scopus

0

Web of Science

0
Article Access Statistics:
Views: 155
PDF Downloads: 130

Publisher's Note
ICCK stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and Permissions
CC BY 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.
ICCK Journal of Applied Mathematics

ICCK Journal of Applied Mathematics

ISSN: 3068-5656 (Online)

Email: [email protected]

Portico

Portico

All published articles are preserved here permanently:
https://www.portico.org/publishers/icck/