The main purpose of this study is to introduce and study two new classes of continuity called
eR-continuous functions and weakly eR-continuous functions via e-regular sets. Both of the …

The main purpose of this paper is to introduce and investigate a new class of open sets
called δe-open sets. For this aim, first we define and study the notion of e-regular open set …

This paper aims is to introduce a new class of open set defined using e-closure operator,
which we call the θe-open set. It is worth noting that the family of all θe-open sets forms a …