الملخص

Chae  et. al. (1995) have studied the concept of  a-strongly q-continuous functions and (a, q)-closed graph. The aim of this paper is to investigate several new characterizations and properties of  a-strongly q-continuous functions and   (a, q)-closed graph. Also, we define a new type of functions called  aq-open functions, which is stronger than quasi a-open and hence strongly  a-open, and  we obtain some characterizations and properties for  it. It is shown that the graph of f, G ( f ) is (a, q)-closed graph if and only if for each filter base Y in X   q-converging to some p in X such that f (Y)  a-converges to some q in Y holds,  f ( p) = q.