Let f: (X, tau)↦(Y,sigma) be a map from a topological space X into another topological space Y. For any subset U of X, let H(U) be the proposition that U is a certain generalized closed or generalized open set of X. For any subset V of Y let G (V) be the proposition that V is a certain generalized closed or generalized open set of Y. We use schemas F (G( V), H (U)) and Z(G(V), H(U)) to describe generalized continuous and generalized closed or generalized open functions, respectively. Finally the relationship among these functions are investigated.