On generalized $\alpha$ regular-interior and generalized $\alpha$ regular-closure in Topological Spaces

S. Sekar a,∗ and G. Kumar b

On generalized $\alpha$ regular-interior and generalized $\alpha$ regular-closure in Topological Spaces

Authors :

S. Sekar^a,∗ and G. Kumar^b

Author Address :

^a Department of Mathematics, Government Arts College (Autonomous), Salem – 636 007, Tamil Nadu, India.
^b Department of Mathematics, A.E.T. College, Attur – 636 108, Tamil Nadu, India.

*Corresponding author

Abstract :

In this paper, the authors introduce a new class of generalized $\alpha$ regular-interior and generalized $\alpha$ regular-closure in topological spaces. Some characterizations and several properties concerning generalized $\alpha$ regular-interior and generalized $\alpha$ regular-closure are obtained.

Keywords :

$g \alpha r$-closed sets, $g \alpha r$-closed map, $g \alpha r$-continuous map, contra $g \alpha r$-continuity.

DOI :

Article Info :

Received : December 07, 2016; Accepted : December 23, 2016.