Research Article
Weak Forms of Open and Closed Functions Defined Between Bitopological Spaces
* Corresponding author
Abstract
This paper presents new classes of open and closed functions defined between bitopological spaces, called weakly (τ1, τ2)p-open functions and weakly (τ1, τ2)p-closed functions. Furthermore, several characterizations of weakly (τ1, τ2)p-open functions and weakly (τ1, τ2)p-closed functions are investigated.
How to Cite
P. Pue-on, A. Sama-Ae, C. Boonpok, Weak Forms of Open and Closed Functions Defined Between Bitopological Spaces, Int. J. Anal. Appl. 23 (2025), 198. https://doi.org/10.28924/2291-8639-23-2025-198
BibTeX
@article{Pue-on2025,
author = {Pue-on, Prapart and Sama-Ae, Areeyuth and Boonpok, Chawalit},
title = {Weak Forms of Open and Closed Functions Defined Between Bitopological Spaces},
journal = {Int. J. Anal. Appl.},
volume = {23},
year = {2025},
pages = {198},
doi = {10.28924/2291-8639-23-2025-198}
}References
- [1] C. Boonpok, P. Pue-on, Weakly θs(Λ, p)-open functions and weakly θs(Λ, p)-closed functions, Asia Pac. J. Math. 11 (2024), 13. https://doi.org/10.28924/APJM/11-13.
- [2] C. Boonpok, M. Thongmoon, Weakly p(Λ, p)-Open Functions and Weakly p(Λ, p)-Closed Functions, Int. J. Ana. Appl. 22 (2024), 10. https://doi.org/10.28924/2291-8639-22-2024-10.
- [3] C. Boonpok, M. Thongmoon, Properties of Weakly β(Λ, p)-Open Functions and Weakly β(Λ, p)-Closed Functions, Eur. J. Pure Appl. Math. 17 (2024), 248–255. https://doi.org/10.29020/nybg.ejpam.v17i1.4974.
- [4] C. Boonpok, N. Srisarakham, θp(Λ, p)-Open Functions and θp(Λ, p)-Closed Functions, Asia Pac. J. Math. 10 (2023), 48. https://doi.org/10.28924/APJM/10-48.
- [5] C. Boonpok, Semi-I-Expandable Ideal Topological Spaces, J. Math. 2021 (2021), 9272335. https://doi.org/10.1155/2021/9272335.
- [6] C. Boonpok, (τ1, τ2)δ-Semicontinuous Multifunctions, Heliyon, 6 (2020), e05367. https://doi.org/10.1016/j.heliyon.2020.e05367.
- [7] C. Boonpok, C. Viriyapong, M. Thongmoon, on Upper and Lower (τ1, τ2)-Precontinuous Multifunctions, J. Math. Comput. Sci. 18 (2018), 282–293. https://doi.org/10.22436/jmcs.018.03.04.
- [8] M. Caldas, G. Navalagi, On Weak Forms of Semi-Open and Semi-Closed Functions, Missouri J. Math. Sci. 18 (2006), 165–178.
- [9] M. Caldas, S. Jafari, G. Navalagi, Weak Forms of Open and Closed Functions via Semi-θ-Open Sets, Carpathian J. Math. 22 (2006), 21–31.
- [10] M. Caldas, G. Navalagi, On Weak Forms of Preopen and Preclosed Functions, Arch. Math. 40 (2004), 119–128.
- [11] N. Chutiman, C. Boonpok, Some Properties of Weakly b(Λ, p)-Open Functions, Int. J. Math. Comput. Sci. 19 (2024), 497–501.
- [12] C. Klanarong, C. Boonpok, Characterizations of Weakly δ(Λ, p)-Closed Functions, Int. J. Math. Comput. Sci. 19 (2024), 503–507.
- [13] C. Klanarong, C. Boonpok, Characterizations of Weakly s(Λ, p)-Open Functions and Weakly s(Λ, p)-Closed Functions, Int. J. Math. Comput. Sci. 19 (2024), 809–814.
- [14] T. Noiri, Weak Forms of Open and Closed Functions via b-θ-Open Sets, Demonstratio Math. 42 (2009), 193–203.
- [15] D.A. Rose, D.S. Jankovi´c, Weakly Closed Functions and Hausdorff Spaces, Math. Nachr. 130 (1987), 105–110.
- [16] D.A. Rose, On Weak Openness and Almost Openness, Int. J. Math. Math. Sci. 7 (1984), 35–40.
- [17] N. Srisarakham, C. Boonpok, On Weakly δ(Λ, p)-Open Functions, Int. J. Math. Comput. Sci. 19 (2024), 485–489.
- [18] N. Viriyapong, S. Sompong, C. Boonpok, Upper and Lower s-(τ1, τ2)p-Continuous Multifunctions, Eur. J. Pure Aplpl. Math. 17 (2024), 2210–2220.
- [19] N. Viriyapong, S. Sompong, C. Boonpok, (τ1, τ2)-Extremal Disconnectedness in Bitopological Spaces, Int. J. Math. Comput. Sci. 19 (2024), 855–860.
- [20] C. Viriyapong, C. Boonpok, (τ1, τ2)α-Continuity for Multifunctions, J. Math. 2020 (2020), 6285763. https://doi.org/10.1155/2020/6285763.