ii- Open Set in Bitopological Spaces

Abstract

In this paper, we define ii-open set in bitopological space as follows: Let ( , 1 , 2 ) be a bitopological space, a subset A of is said to be ( 1or A⊆ 2 ( ∩ ) We study some characterizations and properties of this class. Also, we explain the relation between ii-open sets and open sets, i-open sets and α-open sets in bitopological space. Furthermore, we define ii-continuous mapping on bitopological spaces with some properties.