Some more results on $b$-$\theta$-open sets

In this paper, we consider the class of $b$-$\theta$-open sets in topological spaces and investigate some of their properties. We also present and study some weak separation axioms by involving the notion of $b$-$\theta$-open sets. We define the concepts of $b$-$\theta$-kernal of sets and slightly $b$-$\theta$-$R_0$ spaces. We apply them to investigate some properties of the graph functions.