Volume 54 | Number 2 | Year 2018 | Article Id. IJMTT-V54P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P512

The aim of this paper is to introduce and study the new class of sets called (rw)*-open sets are introduced and studied in topological space i.e. A sub set A of a topological space X is said to be (rw)*-open sets , If U int(cl(A)) ,whenever U A and U is rw-closed sets in X. The new class is properly lies between #rg-open sets and wg-open sets in topological space .Also, as application using properties of (rw)*-open sets and (rw)*-closed stes. We investigate (rw)*-neighbourhoods, (rw)*-derived sets, (rw)*-interior and (rw)*-closure operators and have been discussed some of their basic properties respectively.

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R. S.Wali, Bajirao P Kamble, "On (Rw)*-Open Sets in Topological Spaces," *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 54, no. 2, pp. 109-122, 2018. *Crossref*, https://doi.org/10.14445/22315373/IJMTT-V54P512