On a-strongly q-continuity, aq-openness and (a,q)‎-closed graphs in topological spaces

الملخص EN

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.