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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 14 | Number 2 | Year 2014 | Article Id. IJMTT-V14P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V14P512

Nano Generalized Α-Continuous and Nano Α-Generalized Continuous Functions in Nano Topological Spaces


R.Thanga Nachiyar , K.Bhuvaneswari
Abstract

The purpose of this paper is to introduce and investigate the notions of Nano generalized α-continuous and Nano α-generalized continuous functions in Nano Topological spaces. Also, examine some of the properties of such functions.

Keywords
Nα-continuous, Ngα-continuous, Nαg-continuous, Ngα-open and closed functions and Nαg- open and closed functions.
References

[1]. Balachandran, K., Sundaram, P. and Maki, H. (1991): On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 12, 5.
[2]. Bhuvaneswari K, and Thanga Nachiyar R, Nano Generalized α-Closed sets and Nano α-generalized closed sets in Nano topological spaces,(communicated).
[3]. Devi, R., Balachandran, K. and Maki, H. On generalized α-continuous maps and α-generalized continuous maps, Far East J. Math Sci. (Special Volume Part I), 1997, 1-15.
[4]. Levine, N. (1963): Generalized closed sets in topology, Rend. Circ. Math., Palermo, (2), 19, 89.
[5]. Levine, N. Semi–open sets and semi continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36–41.
[6]. Lellis Thivagar, M and Carmel Richard, On Nano Forms of Weakly Open Sets, International Journal of Mathematics and Statistics Invention, Volume 1 Issue 1, August 2013, PP-31-37.
[7]. Lellis Thivagar, M and Carmel Richard, On Nano Forms of Continuity, Mathematical Theory and Modeling, Volume 3, No. 7, 2013, PP- 32-37.
[8]. Maki, K Devi, R and Balachandran, K Generalized α-closed sets in topology, Bull.Fukuoka Uni.Ed part III, 42(1993), 13-21.
[9]. Miguel Caldas, A note on some applications of α-open sets, IJMMS, 2 (2003), 125-130.

Citation :

R.Thanga Nachiyar , K.Bhuvaneswari, "Nano Generalized Α-Continuous and Nano Α-Generalized Continuous Functions in Nano Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 14, no. 2, pp. 79-83, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V14P512

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