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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Generalized (L, e)-closed sets in topological spaces

* Corresponding author · click or hover a name for details

pp. 2233–2248Vol. 29Issue 7July 2026DOI: 10.47974/JIM-2408XML
Received:
01 May 2025
Published Online:
11 Jul 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2408
Pages:
2233–2248

Abstract

This study introduced and studied a new class of sets, called generalized (Λ, e)-closed sets. Moreover, some properties of generalized (Λ, e)-closed sets are investigated. Several preservation characterizations concerning of e-regular spaces and e-normal spaces have been obtained and discussed.

Keywords

Subject Classifications

03E7254A1054A4054C05

References

[1] N. Levine, “Semi-Open Sets and Semi-Continuity in Topological Spaces,” The American Mathematical Monthly, vol. 70, no. 1, pp. 36-41 (Jan. 1963), doi: https://doi.org/10.1080/00029890.1963.11990039. 
[2] A. S. Mashour, M. E. Abd El-Monsef, and S. N. El-Deeb. “On precontinuous and weak precontinuous mappings.” In Proc. Math. Phys. Soc. Egypt, vol. 53, pp. 47-53 (1982).
[3] M. A. S, “On precontinuous and weak precontinuous mappings,” Proc. Math. Phys. Soc. Egypt., vol. 53, pp. 47-53, 2025, Accessed: Dec. 24, (2025). [Online]. Available: https://cir.nii.ac.jp/crid/1573950400472990592 
[4] E. Ekici, “On e-Open Sets, DP*-Sets And DP Epsilon*-Sets and Decompositions Of Continuity,” Arabian Journal for Science and Engineering, vol. 33, (2025), doi: https://doi.org/8c178f02-47ad-4bdf-83ee-e0b00659c9d2. 
[5] Murad Özkoç, and Ayhan Burcu Sünbül “On Le-Sets and Le-Sets and the Associated Topology τLe,” Gen. Math. Notes, Vol. 32, No. 1, pp 1-11, (2018). 
[6] W. Al-Omeri, M. S. M. Noorani, and A. Al-Omari, “On e-I-open sets, e-I-continuous functions and decomposition of continuity,” Journal of Mathematics and Applications, vol. 38, pp. 15–28 (2015).
[7] Wadei AL-Omeri and Takashi Noiri, “On almost e-ℐ-continuous functions” Demonstratio Mathematica, vol. 54, no. 1, pp. 168-177 (2021). https://doi.org/10.1515/dema-2021-0014
[8] W. Al-Omeri, Mohd. S. Md. Noorani, and A. Al-Omari, “New Forms of Contra-Continuity in Ideal Topology Spaces,” Missouri Journal of Mathematical Sciences, vol. 26, no. 1, May (2014), doi: https://doi.org/10.35834/mjms/1404997107.
[9] W. F. Al-Omeri, M. Kaviyarasu, and M. Rajeshwari, “Identifying internet streaming services using max product of complement in neutrosophic graphs,” International Journal of Neutrosophic Science, vol. 23, no. 1, pp. 257–272 (Jan. 2024).

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