Baoping WANG Some generalized continuities functions on generalized topological spaces

Abstract

In this paper, we introduce (g, αg0)-continuous functions, (g, σg0)-continuous functions, (g, πg0)-continuous functions, and (g, βg0)- continuous functions on generalized topological spaces. These generalized continuous functions are defined by generalized open sets. Wediscuss some characterizations and some applications of them.