• K. Bala Deepa Arasi
• C.Ulagammal
• S.Jackson

The aim of this paper is to be introduced a new class of closed sets namelyR ̂*-closed set by using g ̂-closure and R*-open set. A subset A of a topological space X is said to be g ̂-closed if cl(A)⊆U whenever A⊆U and U is semi-open. The smallest g ̂-closed containing A is said to be g ̂-closure of A and is denoted by g ̂-cl(A). A subset A of a topological space X is said to be R*-closed if rcl(A)⊆U whenever A⊆U and U is regular semi-open. The complement of R*-closed set is said to be R*-open set. Also we investigated and studied their properties.

R ̂*-closed set,g ̂-closed, g ̂-closure set, R*-closed set, R*-open set, R ̂*-open set

"ONR ̂*-CLOSED SETS IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.867-871, February-2019, Available :http://www.jetir.org/papers/JETIRAB06166.pdf

"ONR ̂*-CLOSED SETS IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp867-871, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06166.pdf