Weakly Quasi (τ1, τ2)-Continuous Functions

Chiangpradit, Monchaya; Sompong, Supannee; Boonpok, Chawalit

doi:10.28924/2291-8639-22-2024-125

Research Article

Weakly Quasi (τ1, τ2)-Continuous Functions

Monchaya Chiangpradit
Supannee Sompong
Chawalit Boonpok*

* Corresponding author

Abstract

This paper deals with the notion of weakly quasi (τ₁, τ₂)-continuous functions. Furthermore, some characterizations of weakly quasi (τ₁, τ₂)-continuous functions are discussed.

How to Cite

M. Chiangpradit, S. Sompong, C. Boonpok, Weakly Quasi (τ1, τ2)-Continuous Functions, Int. J. Anal. Appl. 22 (2024), 125. https://doi.org/10.28924/2291-8639-22-2024-125

BibTeX

@article{Chiangpradit2024,
  author  = {Chiangpradit, Monchaya and Sompong, Supannee and Boonpok, Chawalit},
  title   = {Weakly Quasi (τ1, τ2)-Continuous Functions},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {125},
  doi     = {10.28924/2291-8639-22-2024-125}
}

References

[1] S.P. Arya, M.P. Bhamini, Some Weaker Forms of Semi-Continuous Functions, Ganita, 33 (1982), 124–134.
[2] T. Banzaru, N. Crivat, Structures Uniformes sur l’Espace des Parties d’un Espace Uniforme et Quasicontinuité des Applications Multivoques, Bul. St. Tehn. Inst. Politehn. "Traian Vuia", Timi¸soara, Ser. Mat. Fiz. Mec. Teor. Apl. 20 (1975), 135–136.
[3] C. Boonpok, N. Srisarakham, (τ1, τ2)-Continuity for Functions, Asia Pac. J. Math. 11 (2024), 21.
[4] C. Boonpok and P. Pue-on, Characterizations of almost (τ1, τ2)-continuous functions, Int. J. Anal. Appl. 22 (2024), 33. https://doi.org/10.28924/2291-8639-22-2024-33.
[5] C. Boonpok, C. Klanarong, On Weakly (τ1, τ2)-Continuous Functions, Eur. J. Pure Appl. Math. 17 (2024), 416–425. https://doi.org/10.29020/nybg.ejpam.v17i1.4976.
[6] C. Boonpok, J. Khampakdee, Almost Strong θ(Λ, p)-Continuity for Functions, Eur. J. Pure Appl. Math. 17 (2024), 300–309. https://doi.org/10.29020/nybg.ejpam.v17i1.4975.
[7] C. Boonpok, N. Srisarakham, Weak Forms of (Λ, b)-Open Sets and Weak (Λ, b)-Continuity, Eur. J. Pure Appl. Math. 16 (2023), 29–43. https://doi.org/10.29020/nybg.ejpam.v16i1.4571.
[8] C. Boonpok, θ(*)-Precontinuity, Mathematica, 65 (2023), 31–42. https://doi.org/10.24193/mathcluj.2023.1.04.
[9] C. Boonpok, On Some Spaces via Topological Ideals, Open Math. 21 (2023), 20230118. https://doi.org/10.1515/math-2023-0118.
[10] C. Boonpok, C. Viriyapong, Upper and Lower Almost Weak (τ1, τ2)-Continuity, Eur. J. Pure Appl. Math. 14 (2021), 1212–1225. https://doi.org/10.29020/nybg.ejpam.v14i4.4072.
[11] C. Boonpok, Upper and Lower β(*)-Continuity, Heliyon, 7 (2021), e05986. https://doi.org/10.1016/j.heliyon.2021.e05986.
[12] C. Boonpok, (τ1, τ2)δ-Semicontinuous Multifunctions, Heliyon, 6 (2020), e05367. https://doi.org/10.1016/j.heliyon.2020.e05367.
[13] C. Boonpok, On Characterizations of *-Hyperconnected Ideal Topological Spaces, J. Math. 2020 (2020), 9387601. https://doi.org/10.1155/2020/9387601.
[14] C. Boonpok, Weak Quasi Continuity for Multifunctions in Ideal Topological Spaces, Adv. Math., Sci. J. 9 (2020), 339–355. https://doi.org/10.37418/amsj.9.1.28.
[15] C. Boonpok, On Continuous Multifunctions in Ideal Topological Spaces, Lobachevskii J. Math. 40 (2019), 24–35. https://doi.org/10.1134/s1995080219010049.
[16] C. Boonpok, C. Viriyapong and M. Thongmoon, On upper and lower (τ1, τ2)-precontinuous multifunctions, J. Math. Computer Sci. 18 (2018), 282–293. https://doi.org/10.22436/jmcs.018.03.04.
[17] C. Boonpok, Almost (g, m)-Continuous Functions, Int. J. Math. Anal. 4 (2010), 1957–1964.
[18] C. Boonpok, M-Continuous Functions in Biminimal Structure Spaces, Far East J. Math. Sci. 43 (2010), 41–58.
[19] T. Duangphui, C. Boonpok, C. Viriyapong, Continuous Functions on Bigeneralized Topological Spaces, Int. J. Math. Anal. 5 (2011), 1165–1174.
[20] A. Kar, P. Bhattacharyya, Weakly Semi-Continuous Functions, J. Indian Acad. Math. 8 (1986), 83–93.
[21] K. Laprom, C. Boonpok, C. Viriyapong, β(τ1, τ2)-Continuous Multifunctions on Bitopological Spaces, J. Math. 2020 (2020), 4020971. https://doi.org/10.1155/2020/4020971.
[22] N. Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces, Amer. Math. Mon. 70 (1963), 36–41. https://doi.org/10.1080/00029890.1963.11990039.
[23] N. Levine, A Decomposition of Continuity in Topological Spaces, Amer. Math. Mon. 68 (1961), 44–46. https://doi.org/10.2307/2311363.
[24] S. Marcus, Sur les Fonctions Quasicontinues au Sens de S. Kempisty, Colloq. Math. 8 (1961), 47–53.
[25] A. Neubrunnová, On Certain Generalizations of the Notions of Continuity, Mat. Casopis, 23 (1973), 374–380. http://dml.cz/dmlcz/126571.
[26] T. Noiri, V. Popa, Some Properties of Upper and Lower θ-Quasi Continuous Multifunctions, Demonstr. Math. 38 (2005), 223–234. https://doi.org/10.1515/dema-2005-0124.
[27] T. Noiri, V. Popa, Weakly Quasi Continuous Multifunctions, Anal. Univ. Timi¸soara, Ser. St. Mat. 26 (1988), 33–38.
[28] T. Noiri, Properties of Some Weak Forms of Continuity, Int. J. Math. Math. Sci. 10 (1987), 97–111. https://doi.org/10.1155/s0161171287000139.
[29] V. Popa, T. Noiri, Almost Quasi Continuous Multifunctions, Tatra Mt. Math. Publ. 14 (1998), 81–90.
[30] V. Popa, T. Noiri, On θ-Quasi Continuous Multifunctions, Demonstr. Math. 28 (1995), 111–122.
[31] V. Popa, On the Decomposition of the Quasi-Continuity in Topological Spaces (Romanian), Stud. Circ. Mat. 30 (1978), 31–35.
[32] V. Popa, C. Stan, On a Decomposition of Quasicontinuity in Topological Spaces, Stud. Cerc. Mat. 25 (1973), 41–43.
[33] P. Pue-on, C. Boonpok, θ(Λ, p)-Continuity for Functions, Int. J. Math. Comput. Sci. 19 (2024), 491–495.
[34] N. Srisarakham, C. Boonpok, On characterizations of δp(Λ,s)-D1 spaces, Int. J. Math. Comput. Sci. 18 (2023), 743–747
[35] N. Srisarakham, C. Boonpok, Almost (Λ, p)-Continuous Functions, Int. J. Math. Comput. Sci. 18 (2023), 255–259.
[36] M. Thongmoon, C. Boonpok, Strongly θ(Λ, p)-Continuous Functions, Int. J. Math. Comput. Sci. 19 (2024), 475–479.
[37] N. Viriyapong, S. Sompong, C. Boonpok, (τ1, τ2)-Extremal Disconnectedness in Bitopological Spaces, Int. J. Math. Comput. Sci. 19 (2024), 855–860.
[38] C. Viriyapong, C. Boonpok, (Λ,sp)-Continuous Functions, WSEAS Trans. Math. 21 (2022), 380–385.
[39] C. Viriyapong, C. Boonpok, (τ1, τ2)α-Continuity for Multifunctions, J. Math. 2020 (2020), 6285763. https://doi.org/10.1155/2020/6285763.