A note on $(I,J)$-continuous functions
DOI :
https://doi.org/10.5269/bspm.63567Résumé
The purpose of the present paper is to introduce, study and characterize the $(I,J)$-continuous functions. Also, we investigate their relationships with other types of continuous functions.
Références
1. Al-Omari, A.; Noiri, T. On θ(I,J)-continuous functions. Rend. Istit. Mat. Univ. Trieste 44, (2012), 399-411.
2. Fomin, S. Extension of topological spaces. Ann. of Math 44, (1943), 471-480.
3. Jankovic, D.S.; Hamlett, T. R. New topologies from old via ideals. Amer. Math. Monthly 97(4), (1990), 295–310.
4. Levine, N. A decomposition of continuity in topological spaces. Amer. Math. Monthly 68, (1961), 44-46.
5. Kuratowski, K. Topology. Academic Press, New York, USA, (1966).
6. Mashhour, A. S; Abd El-Monsef, M. E; El-Deep, S. N. On precontinuous and weak precontinuous mappings. Proced. Phys. Soc. Egyp 53, (1982), 47-53.
7. Navalagi, G. B. Completely preirresolute functions and completely gp-irresolute functions. Int. J. Math. Comput. Appl 3(1-2), (2011), 55-65.
8. Reilly, I. L; Vamanmurthy, M. K. On α-continuity in topological spaces. Acta Math. Hung 45(1-2), (1985), 27–32.
9. Vaidyanathaswamy, R. The localisation theory in set-topology. Proc. Indian Acad. Sci 20, (1944), 51-61.
10. Yuksel, S; Acikgoz, A; Noiri, T. On δ-I-Continuous functions. Turkish J. Math 29, (2005), 39-51.
2. Fomin, S. Extension of topological spaces. Ann. of Math 44, (1943), 471-480.
3. Jankovic, D.S.; Hamlett, T. R. New topologies from old via ideals. Amer. Math. Monthly 97(4), (1990), 295–310.
4. Levine, N. A decomposition of continuity in topological spaces. Amer. Math. Monthly 68, (1961), 44-46.
5. Kuratowski, K. Topology. Academic Press, New York, USA, (1966).
6. Mashhour, A. S; Abd El-Monsef, M. E; El-Deep, S. N. On precontinuous and weak precontinuous mappings. Proced. Phys. Soc. Egyp 53, (1982), 47-53.
7. Navalagi, G. B. Completely preirresolute functions and completely gp-irresolute functions. Int. J. Math. Comput. Appl 3(1-2), (2011), 55-65.
8. Reilly, I. L; Vamanmurthy, M. K. On α-continuity in topological spaces. Acta Math. Hung 45(1-2), (1985), 27–32.
9. Vaidyanathaswamy, R. The localisation theory in set-topology. Proc. Indian Acad. Sci 20, (1944), 51-61.
10. Yuksel, S; Acikgoz, A; Noiri, T. On δ-I-Continuous functions. Turkish J. Math 29, (2005), 39-51.
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Publié
2025-04-15
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Research Articles
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When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
Comment citer
Rosas, E. ., Carpintero, C., & Sanabria, J. . (2025). A note on $(I,J)$-continuous functions. Boletim Da Sociedade Paranaense De Matemática, 43, 1-5. https://doi.org/10.5269/bspm.63567
