Abstract
In this paper we introduce a new class of functions called Bδg-continuous functions. We obtain several characterizations and some their properties. Also we investigate its relationship with other types of functions. Further we introduce and study a new class of functions namely Bδg-irresolute.
Keywords
Bδg-closed set δ-continuous function Bδg-continuous function Bδg-irresolute function
References
- [1] Arya S. P. and Nour T. M., Characterizations of s-normal spaces, Indian J. Pure. Appl. Math., 21 (8) (1990), 717-719.
- [2] Devi R., Balachandran K. and Maki H., On generalized ®-continuous and ®- generalized continuous functions, For East J. Math Sci. Special Volume, Part I (1997), 1-15.
- [3] Dontchev J. and Ganster M., On ±-generalized closed sets and T3=4-spaces, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 17 (1996), 15-31.
- [4] Lellis T. M. and Meera D. B., Some new classes of generalized continuous functions, Proceedings of the ICMCS 2011, 431-434.
- [5] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer Math. Monthly, 70 (1963), 36-41.
- [6] Levine N., Generalized closed sets in Topology, Rend. Circ. Math. Palermo, 19(2) (1970), 89-96.
- [7] Mashhour A. S., Abd El-Monsef M. E. and El-Deeb S. N., On precontinuous and weak precontinuous mappings, Proc. Math. and Phys. Soc. Egypt 55 (1982), 47-53.
- [8] Meera D. B., New Type of Generalized Closed sets In Topological Spaces, (Communicated).
- [9] Njastad O., On some classes of nearly open sets, Paci¯c J. Math., 15 (1965), 961-970.
- [10] Noiri T., Super-continuity and some strong forms of continuity, Indian J. Pure. Appl Math., 15 (1984), 241-250.
- [11] Tong J., On Decomposition of continuity in topological spaces, Acta Math. Hungar., 54 (1-2) (1989), 51-55.
- [12] Veera K., ^g-closed sets in topological spaces, Bull. Allah. Math. Soc., 18 (2003), 99-112.
- [13] Velicko N. V., H-closed topological spaces, Amer. Math. Soc. Transl., 78 (1968), 103-118.
Abstract
References
- [1] Arya S. P. and Nour T. M., Characterizations of s-normal spaces, Indian J. Pure. Appl. Math., 21 (8) (1990), 717-719.
- [2] Devi R., Balachandran K. and Maki H., On generalized ®-continuous and ®- generalized continuous functions, For East J. Math Sci. Special Volume, Part I (1997), 1-15.
- [3] Dontchev J. and Ganster M., On ±-generalized closed sets and T3=4-spaces, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 17 (1996), 15-31.
- [4] Lellis T. M. and Meera D. B., Some new classes of generalized continuous functions, Proceedings of the ICMCS 2011, 431-434.
- [5] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer Math. Monthly, 70 (1963), 36-41.
- [6] Levine N., Generalized closed sets in Topology, Rend. Circ. Math. Palermo, 19(2) (1970), 89-96.
- [7] Mashhour A. S., Abd El-Monsef M. E. and El-Deeb S. N., On precontinuous and weak precontinuous mappings, Proc. Math. and Phys. Soc. Egypt 55 (1982), 47-53.
- [8] Meera D. B., New Type of Generalized Closed sets In Topological Spaces, (Communicated).
- [9] Njastad O., On some classes of nearly open sets, Paci¯c J. Math., 15 (1965), 961-970.
- [10] Noiri T., Super-continuity and some strong forms of continuity, Indian J. Pure. Appl Math., 15 (1984), 241-250.
- [11] Tong J., On Decomposition of continuity in topological spaces, Acta Math. Hungar., 54 (1-2) (1989), 51-55.
- [12] Veera K., ^g-closed sets in topological spaces, Bull. Allah. Math. Soc., 18 (2003), 99-112.
- [13] Velicko N. V., H-closed topological spaces, Amer. Math. Soc. Transl., 78 (1968), 103-118.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | February 27, 2018 |
| Submission Date | December 21, 2017 |
| Published in Issue | Year 2018 Issue: 21 |
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