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Topological Mappings via Bδg-Closed Sets

Year 2018, Issue: 21, 78 - 85, 27.02.2018

Raja Maruthamuthu Seenivasagan Narayanasamy Ravi Otchanathevar

https://izlik.org/JA84PK36HN

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.

Year 2018, Issue: 21, 78 - 85, 27.02.2018

Raja Maruthamuthu Seenivasagan Narayanasamy Ravi Otchanathevar

https://izlik.org/JA84PK36HN

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.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Raja Maruthamuthu This is me

Seenivasagan Narayanasamy This is me

Ravi Otchanathevar

Submission Date December 21, 2017
Publication Date February 27, 2018
IZ https://izlik.org/JA84PK36HN
Published in Issue Year 2018 Issue: 21

Cite

APA Maruthamuthu, R., Narayanasamy, S., & Otchanathevar, R. (2018). Topological Mappings via Bδg-Closed Sets. Journal of New Theory, 21, 78-85. https://izlik.org/JA84PK36HN
AMA 1.Maruthamuthu R, Narayanasamy S, Otchanathevar R. Topological Mappings via Bδg-Closed Sets. JNT. 2018;(21):78-85. https://izlik.org/JA84PK36HN
Chicago Maruthamuthu, Raja, Seenivasagan Narayanasamy, and Ravi Otchanathevar. 2018. “Topological Mappings via BδG-Closed Sets”. Journal of New Theory, nos. 21: 78-85. https://izlik.org/JA84PK36HN.
EndNote Maruthamuthu R, Narayanasamy S, Otchanathevar R (February 1, 2018) Topological Mappings via Bδg-Closed Sets. Journal of New Theory 21 78–85.
IEEE [1]R. Maruthamuthu, S. Narayanasamy, and R. Otchanathevar, “Topological Mappings via Bδg-Closed Sets”, JNT, no. 21, pp. 78–85, Feb. 2018, [Online]. Available: https://izlik.org/JA84PK36HN
ISNAD Maruthamuthu, Raja - Narayanasamy, Seenivasagan - Otchanathevar, Ravi. “Topological Mappings via BδG-Closed Sets”. Journal of New Theory. 21 (February 1, 2018): 78-85. https://izlik.org/JA84PK36HN.
JAMA 1.Maruthamuthu R, Narayanasamy S, Otchanathevar R. Topological Mappings via Bδg-Closed Sets. JNT. 2018;:78–85.
MLA Maruthamuthu, Raja, et al. “Topological Mappings via BδG-Closed Sets”. Journal of New Theory, no. 21, Feb. 2018, pp. 78-85, https://izlik.org/JA84PK36HN.
Vancouver 1.Raja Maruthamuthu, Seenivasagan Narayanasamy, Ravi Otchanathevar. Topological Mappings via Bδg-Closed Sets. JNT [Internet]. 2018 Feb. 1;(21):78-85. Available from: https://izlik.org/JA84PK36HN


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