A New Approach to (1, 2)-j-open sets in Bitopological Spaces

Dr.D.Sasikala; R.Usha

doi:https://doi.org/10.14445/22315373/IJMTT-V37P533

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 4 | Year 2016 | Article Id. IJMTT-V37P533 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P533

A New Approach to (1, 2)-j-open sets in Bitopological Spaces

Dr.D.Sasikala, R.Usha

Abstract

The aim of this present paper is to introduce a new class of set namely (1,2)-j-open, (1,2)-j-closed in bitopological spaces. We investigate the several properties and study their relationship with other existing sets.

Keywords

(1,2)-j-open sets , (1,2)-j-closed sets

References

[1] D. Andrijevic and M. Ganster, On PO-equivalent topologies, In IV International Meeting on Topology in Italy (Sorrento, 1988), Rend. Circ. Mat. Palermo, (2) Suppl, 251-256.
[2] B.Bhattacharya and A. Paul, On bitopological -open set, Isor journal of Mathematics, 5(2) (2013), 10-14.
[3] S. Bose, Semi-open sets, semi continuity and semi-open mappings in bitopological spaces, Bull.Calcutta Math.Soc, 73(1981), 237-246.
[4] B.P. Dvalishvili Bitopological spaces: theory, relations with generalized algebraic 2005.
[5] A.Kar and B.Bhattacharya, Bitopological pre-open sets, pre-continuity and pre-open mappings, Indian J. Math., 34(1992), 237-246
[6] J.C. Kelly, Bitopological spaces, Proc. London, Math. Soc., 13(1963), 71-89.
[7] A.B. Khalaf and A.M. Omer, Si - Open sets and Si - continuity in bitopological spaces, Tamkang Journal of Mathematics, 43(1) (2012), 81-97
[8] F.H. Khedr, Properties of ij - delta open sets, Fasciculi Mathematici, 52(2014), 65-81.
[9] N.Levine, Semi-open sets and semi-continuity in topological spaces, Amer Math.Monthly, 70 (1963),36-41.
[10] S.N. Maheshwari and R. Prasad, Semi open sets and semi continuous funtions in bitopological spaces, Math.Notae., 26(1977/78), 29-37.
[11] A.S. Mashhour, M.E.Abdl El-Monsef and S.N. El-Deeb, Onprecontinuous and weak pre continuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
[12] S.Raychaudhui and M.N Mukherjee, on -almost continuity and -preopen sets, Bull. Inst.Math.Acad. Sinica, 21(1993), 357-366.
[13] M.M. El-Sharkasy, On∧α-sets and the associated topology T∧α, Journal of the Egyptian Mathematical Society, 23(2015), 371-376.

Citation :

Dr.D.Sasikala, R.Usha, "A New Approach to (1, 2)-j-open sets in Bitopological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 4, pp. 238-242, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P533