On Weakly e*-θ-open Functions and Their Characterizations

Abstract

The main aim of this paper is to introduce and study a new class of weakly open functions called weakly e*-θ-open functions via e*-θ-open sets [13], which is a stronger concept than weakly e*-open functions [22]. Moreover, we obtain various characterizations of weakly e*-θ-open functions and investigate some of their fundamental properties. In additon, we investigate not only the relationships of these functions with some othertypes of existing topological functions, but also several basic results related to connectedness, e*θ-connectedness [5] and hyperconnectedness [18].

On Some Functions Related to e*-θ-open Sets

“…In 2015, Farhan and Yang [10] Again within the same year, Ayhan and Özkoç [5] defined and studied pre e * θ -open functions. In 2022, Ayhan [4] introduced and investigated weakly e * θ -open functions and also obtained some characterizations of its.…”