On α-strongly θ-continuity, αθ-openness and (α, θ)-closed graphs in Topological Spaces
AL-Rafidain Journal of Computer Sciences and Mathematics,
2007, Volume 4, Issue 1, Pages 41-56
AbstractChae 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.
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