β-γ Irresolute and β-γ -Closed Graph

In this paper, we introduce the notion of β-γ-g.closed sets and some weak separation axioms. Also we show that some basic properties of β-γ -T1/2, β-γ Ti, β-γ 2 irresolute, β-γ -continuous functions and a new notion of the graph of a function called a β-γ-closed graph and investigate some of their fundamental properties.