On pre-$mathcal{I}_s$-open sets and pre-$mathcal{I}_s$-continuous functions

R. Santhia,* and M. Rameshkumarb

On pre-$mathcal{I}_s$-open sets and pre-$mathcal{I}_s$-continuous functions

Authors :

R. Santhi^a,* and M. Rameshkumar^b

Author Address :

^aDepartment of Mathematics, NGM College, Pollachi-642001, Tamil Nadu, India.
^bDepartment of Mathematics, P. A College of Engineering and Technology, Pollachi-642002, Tamil Nadu, India.

*Corresponding author.

Abstract :

We study the notion of pre-$mathcal{I}_s$-open and pre-$mathcal{I}_s$-continuous and obtain some properties. Then, we introduce and investigate pre-$mathcal{I}_s$-open functions and pre-$mathcal{I}_s$-closed functions. Also we obtain a decomposition of continuity via idealization.

Keywords :

Pre-$mathcal{I}_s$-open set, pre-$mathcal{I}_s$-continuous function.

DOI :

Article Info :

Received : February 28, 2014; Accepted : May 02, 2014.