On some forms of e *-irresoluteness

The main goal of this paper is to introduce and study two new class of functions, called weakly e *-irresolute functions and strongly e *-irresolute functions, via the notion of e *-open set dened by Ekici [7]. We obtain several fundamental properties and characterizations of these functions. Moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing topological functions.