On Faintly θ- Semi-Continuous and Faintly δ-Semi-Continuous Functions

Main Article Content

Shaimaa Husham Abd-al-Wahad
https://orcid.org/0000-0002-5116-1256
Jalal Hatem Hussein Bayati
https://orcid.org/0000-0002-3070-2391
Ana Maria Zarco
https://orcid.org/0000-0002-0140-3456

Abstract

      Faintly continuous (FC) functions, entitled faintly S-continuous and faintly δS-continuous functions have been introduced and investigated via a -open and -open sets. Several characterizations and properties of faintly S-continuous and faintly -Continuous functions were obtained. In addition, relationships between faintly s- Continuous and faintly S-continuous function and other forms of FC function were investigated. Also, it is shown that every faintly  S-continuous is weakly S-continuous. The Convers is shown to be satisfied only if the co-domain of the function is almost regular.

Article Details

How to Cite
1.
On Faintly θ- Semi-Continuous and Faintly δ-Semi-Continuous Functions. Baghdad Sci.J [Internet]. 2024 Mar. 4 [cited 2024 Apr. 28];21(3):1066. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8359
Section
article

How to Cite

1.
On Faintly θ- Semi-Continuous and Faintly δ-Semi-Continuous Functions. Baghdad Sci.J [Internet]. 2024 Mar. 4 [cited 2024 Apr. 28];21(3):1066. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8359

References

Long PE, Herrington LL. The T_θ-Topology and Faintly Continuous Functions. Kyungpook Math J. 1982; 22(1): 7–14. https://doi.org/10.1016/0165-0114(93)90225-7

Hamid SK, Hussein JH. Faintly Simply - Continuous Function. DJPS. January 2021; 17(1): 35-43. https://dx.doi.org/10.24237/djps.17.01.536B

Hussein H. ON G-OPEN SET. Baghdad Sci J. 2021 Mar. 10; 4(3): 482-4. https://doi.org/10.21123/bsj.2007.4.3.482-484

Sadek AR, Hussein JH. δ-Semi Normal and δ-Semi Compact Spaces. MSEA. 2022 August 19; 71(4): 2062-2069. https://www.researchgate.net/publication/363453318_d-Semi_Normal_and_d-Semi_Compact_Spaces

Al Ghour S, Irshidat B. On θω continuity. Heliyon. 2020; 6(2): 2-4. https://www.researchgate.net/publication/339064737_On_th_continuity

Majeed A-RH, AL-Bayati JHH. On Sn-Spaces. Iraqi J Sci. 2022 Apr. 28; 57(3B): 2076-8. ON SN-SPACES | Iraqi Journal of Science (uobaghdad.edu.iq)

Hassan JA, Labendia MA. θs-open sets and θs-continuity of maps in the product space. Math Comput Sci. 2022; 25: 182–190. http://dx.doi.org/10.22436/jmcs.025.02.07

Mahmood JA, Naser AI. Connectedness via Generalizations of Semi-Open Sets. Ibn AL- Haitham J pure Appl Sci. 2022; 35(4): 235-240. https://www.researchgate.net/publication/367582363_Connectedness_via_Generalizations_of_Semi-Open_Sets

Ali AA, Sadek AR. On regular δ-Semi. Open space. J Interdiscip Math. 2021; 24(4): 953-960. https://api.semanticscholar.org/CorpusID:234864017

Al Ghour S, Al-Zoubi S, A new class between theta open sets and theta omega open sets. Heliyon. 2021; 7: 1-12. https://www.researchgate.net/publication/348612669_A_new_class_between_theta_open_sets_and_theta_omega_open_sets

Lee BY, Son MJ, Park JH. δ-semiopen sets and its applications. Far East J Math Sci. 2001; 3(5):745-759. https://www.researchgate.net/publication/266056832_d-semi-open_sets_and_its_applications

Koˇcinaca LDR. Generalized Open Sets and Selection Properties, Faculty of Sciences and Mathematics. University of Nis, Serbia. Filomat. 2019; 33(5): 1485–1493. https://www.researchgate.net/publication/338472902_Generalized_open_sets_and_selection_properties

Al. Jumaili AMF, Auad AA, Abed MM. A New Type of Strongly Faint Continuous Mappings and Their Applications in Topological Spaces. J Eng Appl Sci. 2019; 14(3): 905-912. https://www.researchgate.net/publication/330655885_A_new_type_of_strongly_faint_continuous_mappings_and_their_applications_in_topological_spaces

EL-Maghrabi AI, AL-Juhani MA. New weak forms of faint continuity. Int J Innov Sci Eng Technol. 2014; 1(4): 285-295. https://api.semanticscholar.org/CorpusID:124389936

Singal MK, Arya S. On almost-regular spaces. Glas Mat. 1969; 4(24): 89–99. https://doi.org/10.1016/j.jksus.2021.101713

Ressan DI. Some Results of Feebly Open and Feebly Closed Mapping. Baghdad Sci J. 2009; 6(4): 16-821. https://doi.org/10.21123/bsj.2009.6.4.816-821

Rosas E, Carpintero C, Salas M, Sanabria J, Vasquez Márquez L. Almost ω-continuous functions defined by ω-open sets due to Arhangel'ski. Cubo Math J. 2017; 19(1): 01-15.

http://dx.doi.org/10.4067/S0719-06462017000100001

Similar Articles

You may also start an advanced similarity search for this article.