On i α- Open Sets

In this paper, we introduce a new class of open sets defined as follows: A subset A of a topological space is called i-open set, if there exists a non-empty subset O of X, , such that. Also, we present the notion of i-continuous mapping, i-open mapping, i-irresolute mapping, i-totally continuous mapping, i-contra-continuous mapping, i-contra-continuous mapping and we investigate some properties of these mappings. Furthermore, we introduce some i-separation axioms and the mappings are related with i-separation axioms.