A note on $(I,J)$-continuous functions
DOI:
https://doi.org/10.5269/bspm.63567Abstract
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.
References
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.
Downloads
Published
2025-04-15
Issue
Section
Research Articles
License
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).



