Research Article
Strongly b*-continuous Functions in Topological Spaces
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 58 - Issue 14 |
| Published: November 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 },
year = { 2012 },
volume = { 58 },
number = { 14 },
pages = { 8-11 },
doi = { 10.5120/9348-3672 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A A. Poongothai
%A R. Parimelazhagan
%T Strongly b*-continuous Functions in Topological Spaces%T
%J International Journal of Computer Applications
%V 58
%N 14
%P 8-11
%R 10.5120/9348-3672
%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
- 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.
- Balachandran K, Sundaram P and Maki H, On Generalized Continuous maps in Topological spaces, Mem. Fac. Sci. Kochi. Univ. Math. 12(1991).
- Biswas N, On characterizations of semi-continuous functions, Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. ,48(1970), 399-402.
- 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.
- Dontchev J, Contra - continuous functions and strongly s - closed spaces, Internat. J Mat. Sci 19(1996), 303 - 310.
- Dontchev J, Ganster M and Reilly I L, More on almost s- continuous, Indian. J. Math. 41(1999), 139 - 146.
- Dunham. W, T1/2 - spaces, Kyungpook math. J. 17(1977), 161-169.
- Dunham. W and Levine. N, Further results on generalized closed sets in topology, Kyungpook math. J. 20. (1980),165-175.
- Erdal Eckici, Almost contra - pre continuous functions, Bull. Malaysian Math. Sc. Soc. (Second Series)27(2004)53-65.
- Ekici. E and Caldas M, Slightly ? - continuous functions, Bol. Soc. Parana. Mat(3) 22(2004),2,63-74.
- Jafari S and Noiri T, On contra - pre continuous functions, Bull. Malaysian Math. Sc. Soc. 25(2002),115-128.
- Levine. N, Generalised closed sets in Topology, Rend. Circ. Mat. Palerno (2), 19 (1970), 89 - 96.
- Levine. N, Strong continuity in topological spaces, Amer. Math. Monthly. 67(1960)269.
- Mashhour A S, Hasanain I A and El-Deeb S N , ?-continuous and ? - open mappings, Acta Math Hungar, 41(1983), 213-218.
- Munshi B M and Bassan D S. , Super continuous mappings, Indian J. Pure Appl. Maths, 13(1982), 229 - 236.
- Nagaveni N , Studies on generalization of homeomorphisms in topological spaces, Ph. D, Thesis, Bharathiar University, Coimbatore(1999).
- Noiri T, Ahmeeed B and Khan M, Almost s- continuous functions, Kyungpook Math. J. 35(1995)311- 322.
- Noiri T, super -continuity and some strong forms of continuity Indian J. Pure. Appl. Math. , 15(1984), 241-250.
- Poongothai A and Parimelazhagan R, sb?- closed sets in Topological spaces, Int. Journal of Math. Analysis Vol. 6, 2012, no. 47, 2325-2333.
- Reilly I L and Vamanamurthy M K, On super- continuous mappings, Indian J. Pure. Appl. Math. 14(1983), 767-772.
- Sundaram P, Studies on Generalizations of continuous maps in topological spaces, Ph. D, thesis, Bharathiar University, Coimbatore 1991.
- 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
Keywords