On weakly e ? -?-open functions and their characterizations

The main aim of this paper is to introduce and study a new class of weakly open functions called weakly e-?-open functions via e-?-open sets [13], which is stronger than the concept of weakly e-open functions Moreover, we obtain various characterizations of weakly e-?-open functions and investigate some of their fundamental properties. In additon, we investigate not only the relationships of these functions with some other types of existing topological functions, but also several basic results related to connectedness, e-?-connectedness and hyperconnectedness