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Reseach Article

Strongly b*-continuous Functions in Topological Spaces

by A. Poongothai, R. Parimelazhagan
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 58 - Number 14
Year of Publication: 2012
Authors: A. Poongothai, R. Parimelazhagan
10.5120/9348-3672

A. Poongothai, R. Parimelazhagan . Strongly b*-continuous Functions in Topological Spaces. International Journal of Computer Applications. 58, 14 ( November 2012), 8-11. DOI=10.5120/9348-3672

@article{ 10.5120/9348-3672,
author = { A. Poongothai, R. Parimelazhagan },
title = { Strongly b*-continuous Functions in Topological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { November 2012 },
volume = { 58 },
number = { 14 },
month = { November },
year = { 2012 },
issn = { 0975-8887 },
pages = { 8-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume58/number14/9348-3672/ },
doi = { 10.5120/9348-3672 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:02:29.002756+05:30
%A A. Poongothai
%A R. Parimelazhagan
%T Strongly b*-continuous Functions in Topological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 58
%N 14
%P 8-11
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we present and study a new generation of strongly b*-continuous functions. Furthermore, we obtain basic properties and preservation theorems of strongly b*- continuous functions and relationships between them. Also we studied the strongly b*- open and closed maps.

References
  1. M E Abd El- Monsef S N El - Deeb and R A Mahmoud, ? - continuous mapping, Bull. Fac. Sci. Assiut Univ. A 12 (1)(1983), 77-90.
  2. Balachandran K, Sundaram P and Maki H, On Generalized Continuous maps in Topological spaces, Mem. Fac. Sci. Kochi. Univ. Math. 12(1991).
  3. Biswas N, On characterizations of semi-continuous functions, Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. ,48(1970), 399-402.
  4. Devi R, Balachandran and Maki H, On Generalized ?-continuous maps and ?- generalized continuous maps, For East J. Math Sci. (Special Volume Part I), (1997), 1- 15.
  5. Dontchev J, Contra - continuous functions and strongly s - closed spaces, Internat. J Mat. Sci 19(1996), 303 - 310.
  6. Dontchev J, Ganster M and Reilly I L, More on almost s- continuous, Indian. J. Math. 41(1999), 139 - 146.
  7. Dunham. W, T1/2 - spaces, Kyungpook math. J. 17(1977), 161-169.
  8. Dunham. W and Levine. N, Further results on generalized closed sets in topology, Kyungpook math. J. 20. (1980),165-175.
  9. Erdal Eckici, Almost contra - pre continuous functions, Bull. Malaysian Math. Sc. Soc. (Second Series)27(2004)53-65.
  10. Ekici. E and Caldas M, Slightly ? - continuous functions, Bol. Soc. Parana. Mat(3) 22(2004),2,63-74.
  11. Jafari S and Noiri T, On contra - pre continuous functions, Bull. Malaysian Math. Sc. Soc. 25(2002),115-128.
  12. Levine. N, Generalised closed sets in Topology, Rend. Circ. Mat. Palerno (2), 19 (1970), 89 - 96.
  13. Levine. N, Strong continuity in topological spaces, Amer. Math. Monthly. 67(1960)269.
  14. Mashhour A S, Hasanain I A and El-Deeb S N , ?-continuous and ? - open mappings, Acta Math Hungar, 41(1983), 213-218.
  15. Munshi B M and Bassan D S. , Super continuous mappings, Indian J. Pure Appl. Maths, 13(1982), 229 - 236.
  16. Nagaveni N , Studies on generalization of homeomorphisms in topological spaces, Ph. D, Thesis, Bharathiar University, Coimbatore(1999).
  17. Noiri T, Ahmeeed B and Khan M, Almost s- continuous functions, Kyungpook Math. J. 35(1995)311- 322.
  18. Noiri T, super -continuity and some strong forms of continuity Indian J. Pure. Appl. Math. , 15(1984), 241-250.
  19. Poongothai A and Parimelazhagan R, sb?- closed sets in Topological spaces, Int. Journal of Math. Analysis Vol. 6, 2012, no. 47, 2325-2333.
  20. Reilly I L and Vamanamurthy M K, On super- continuous mappings, Indian J. Pure. Appl. Math. 14(1983), 767-772.
  21. Sundaram P, Studies on Generalizations of continuous maps in topological spaces, Ph. D, thesis, Bharathiar University, Coimbatore 1991.
  22. Sundaram P and Sheik John M, Weakly closed sets and weakly continuous maps in topological spaces, Proc. 82nd session of the Indian Science Congress, Calcutta, 1995, p -49.
Index Terms

Computer Science
Information Sciences

Keywords

strongly b*- continuous functions strongly b*-open maps and closed maps