δ_σ-Continuous Function in Proximity Topological Spaces
Keywords:
Proximity Space, remote or far between sets, δ-continuous function
Abstract
We have composed this article to distinguish a new sort of continuity in the generated topology in the space of proximity, which depends on opening group in proximity space, and we have presented some of its identifications and types among it and other sorts, which we have shown in a prior research.
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References
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8. S. Leader, Local proximity space, Math. Ann. 169(1957), 275-281.
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10. M. W. Lodato, On topological induced generalized proximity relation I, Proc. Amer. J. Math. Soc. 15 (1964), 417-422.
11. M. W. Lodato, On topological induced generalized proximity relation II, Pacific J. Math.17 (1966), 131-135.
12. J. F. Peters and P. Wasilewski, Foundations of near sets, Inform. Sci. 179(2009), 3091- 3109.
13. YKM Altalkany, LAA Al Swidi, Focal Function in i-Topological Space via Proximity Spaces, Journal of physics: Conference Series
2. Anna Di Concilio, Proximity: a powerful tool in extension theory, function spaces, hyperspaces, Boolean algebra and point-free geometry, article January 2009, DOI: 10.1090/ conm /486/09508.
3. Agata Caserta, Strong Proximal Continuity and Convergence, Handawi publishing Corporation, volume 2013, Article ID 412796, 10 pages.
4. Kandil, O. A. El-Tantawy, On G- Proximity Spaces, Appl. Math. Inf. Sci. Lett. 4, No. 2,79-84(2016).
5. Longin Latecki, Semi-proximity continuous functions in digital images, Pattern Recognition Letters 16(1995)1175-1187.
6. L.A. Al Swidi, Raghad Almohammed, New Concepts via Topological Proximity Space, AIP Conf. Proc. 3097, 080014(2024) .
7. Radoslav Dimitrijevic^`, Proximity and uniform spaces, UNi·su, Februara 2010, PP:1-20.
8. S. Leader, Local proximity space, Math. Ann. 169(1957), 275-281.
9. S. Leader, Extension based on proximity boundedness, Math. Z. 108(1969), 137-144.
10. M. W. Lodato, On topological induced generalized proximity relation I, Proc. Amer. J. Math. Soc. 15 (1964), 417-422.
11. M. W. Lodato, On topological induced generalized proximity relation II, Pacific J. Math.17 (1966), 131-135.
12. J. F. Peters and P. Wasilewski, Foundations of near sets, Inform. Sci. 179(2009), 3091- 3109.
13. YKM Altalkany, LAA Al Swidi, Focal Function in i-Topological Space via Proximity Spaces, Journal of physics: Conference Series
Published
2025-09-02
How to Cite
Entessar Jaber Abed Noor, & Yiezi Kadham Mahdi Altalkany. (2025). δ_σ-Continuous Function in Proximity Topological Spaces . Central Asian Journal of Theoretical and Applied Science, 6(4), 720-727. https://doi.org/10.51699/cajotas.v6i4.1610
Section
Articles
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