hα-Almost Weakly Continuous Functions in Ideal Topological Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-230
Published: Aug 3, 2026
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Eman Almuhur, Manal Al-Labadi, Raeesa Bashir, hα-Almost Weakly Continuous Functions in Ideal Topological Spaces, Int. J. Anal. Appl., 24 (2026), 230.

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Eman Almuhur, Manal Al-Labadi, Raeesa Bashir

Abstract

In this paper, we discuss hα-continuous functions modulo ideals. We examine the features and relationships between hα-irresolute continuous and hα-homeomorphism functions modulo ideals. We present almost hα-continuous functions modulo ideals and provide some illustrations of them. We ascertain the relationship between h-homeomorphism, hα-irresolute, almost hα-continuous, and continuous functions modulo ideals. Strongly hα-continuous functions modulo ideals are presented and explored.

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References

  1. C. Boonpok, Generalized Continuous Functions from Any Topological Space into Product, Naresuan Univ. J. 11 (2003), 93-98.
  2. F. Abbas, On h-Open Sets and h-Continuous Functions, Bol. Soc. Paranaense Mat. 41 (2022), 1-9. https://doi.org/10.5269/bspm.51006.
  3. S.W. Askandar, B.S. Abdullah, R.N. Balo, hα-Open Sets in Topological Spaces, J. Educ. Sci. 31 (2022), 91-98. https://doi.org/10.33899/edusj.2022.134241.1251.
  4. J. Dontchev, Contra-continuous Functions and Strongly S-closed Spaces, Int. J. Math. Math. Sci. 19 (1996), 303-310. https://doi.org/10.1155/S0161171296000427.
  5. A. Atoom, H. Qoqazeh, M. Alholi, E. ALmuhur, E. Hussein, et al., A New Outlook on Omega Closed Functions in Bitopological Spaces and Related Aspects, Eur. J. Pure Appl. Math. 17 (2024), 2574-2585. https://doi.org/10.29020/nybg.ejpam.v17i4.5347.
  6. J. Dontchev, M. Ganster, I. Reilly, More on Almost-S-Continuity, Indian J. Math. 41 (1999), 139-146.
  7. M.K. Singal, A.R. Singal, Almost Continuous Mappings, Yokohama Math. J. 16 (1968), 63-73.
  8. V. Senthilkumaran, R. Krishnakumar, Y. Palaniappan, Almost Contra-αg Continuous Functions, Int. J. Fuzzy Math. Arch. 8 (2015), 69-80.
  9. E. Almuhur, M. Al-Labadi, On Irresolute Functions in Ideal Topological Spaces, Therm. Sci. 26 (2022), 703-709. https://doi.org/10.2298/TSCI22S2703A.
  10. S. Sharma, N. Digra, P. Saproo, S. Billawria, On h-Irresolute Topological Vector Spaces, J. Adv. Math. Stud. 16 (2023), 304-319.
  11. N. Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces, Am. Math. Mon. 70 (1963), 36-41. https://doi.org/10.1080/00029890.1963.11990039.
  12. E. Almuhur, M. Al-labadi, E. Suleiman, N. Khan, M.E. Samei, Almost, Weakly and Nearly Lindelöf Ideal Topological Spaces, Eur. J. Pure Appl. Math. 18 (2025), 6497. https://doi.org/10.29020/nybg.ejpam.v18i3.6497.
  13. E. Almuhur, M. Al-labadi, A. Shatarah, S. Khamis, N. Omar, Almost, Weakly and Nearly L-Closed Topological Spaces, in: 2021 International Conference on Information Technology (ICIT), IEEE, 2021, pp. 80-84. https://doi.org/10.1109/ICIT52682.2021.9491696.
  14. M. Abd El-Monsef, S. El-Deeb, R. Mahmoud, β-Open Sets and β-Continuous Mappings, Bull. Fac. Sci., Assiut Univ. 12 (1983), 77-90.
  15. N. Levine, A Decomposition of Continuity in Topological Spaces, Am. Math. Mon. 68 (1961), 44-46. https://doi.org/10.2307/2311363.
  16. N.M. Omer, H.Z. Hdeib, E.M. Almuhur, M. Al-Labadi, On P2-c-Closed Space in Bitopological Space, Adv. Math. Sci. J. 10 (2021), 1839-1843. https://doi.org/10.37418/amsj.10.3.61.
  17. E. Almuhur, M. Al-Labadi, Pairwise Strongly Lindelöf, Pairwise Nearly, Almost and Weakly Lindelöf Bitopological Spaces, WSEAS Trans. Math. 20 (2021), 152-158. https://doi.org/10.37394/23206.2021.20.16.
  18. Y. Beceren, T. Noiri, Strongly Precontinuous Functions, Acta Math. Hung. 108 (2005), 47-53. https://doi.org/10.1007/s10474-005-0207-x.
  19. V. Popa, T. Noiri, Almost Weakly Continuous Functions, Demonstr. Math. 25 (1992), 241-251. https://doi.org/10.1515/dema-1992-1-221.
  20. E. Almuhur, M. Al-Labadi, M. Qousini, R. Bashir, Strongly Dαp-Closed Graphs in Bitopological Spaces, Int. J. Adv. Appl. Sci. 11 (2024), 121-125. https://doi.org/10.21833/ijaas.2024.09.013.
  21. T. Noiri, Properties of Some Weak Forms of Continuity, Int. J. Math. Math. Sci. 10 (1987), 97-111. https://doi.org/10.1155/s0161171287000139.
  22. M. Al-Labadi, E.M. Almuhur, Planar of Special Idealization Rings, WSEAS Trans. Math. 19 (2020), 606-609. https://doi.org/10.37394/23206.2020.19.66.
  23. E. Almuhur, M. Al-Labadi, R. Bashir, H. Qoqazeh, W. Audeh, Further Properties of hα-Open Sets in Ideal Topological Spaces, Int. J. Anal. Appl. 24 (2026), 181. https://doi.org/10.28924/2291-8639-24-2026-181.