The notion of γ- b -open sets in generalized topological spaces was introduced and studied by Sivagami [5] in 2008: By using the notion of μ-b-open sets, we introduce and study (b; μY )-continuous functions, μ-b-kernel and (μX; μY)-b-open functions in ge-neralized topological spaces. Also some characterizations of (b; μY )-continuous functions are obtained.
