Balamani, N2017-09-052017-09-0520152277-9655https://ir.avinuty.ac.in/handle/avu/3539The purpose of this paper is to introduce r*bg* - closed maps and r*bg* - open maps and study their behaviour and properties in topological spaces. Additionally we discuss some relationships between r*bg* - closed maps and other existing closed maps. Moreover we investigate and obtain some interesting theorems.