On weakly e*-open and weakly e*-closed Functions

Subject Areas : General topology

M. Özkoc ¹ , S. Erdem ²

1 - Mugla Sitki Kocman University, Faculty of Science, Department of Mathematics, 48000, Mentese-Mugla, Turkey
2 - Mugla Sitki Kocman University, Graduate School of Natural and Applied Sciences, Mathematics, 48000, Mentese- Mugla, Turkey

Received: 2020-02-12 Accepted : 2020-09-17 Published : 2020-09-01

Keywords: $e^{*}$-open set, $e^{*}$-open function, weakly $e^{*}$-open function, weakly $e^{*}$-closed function, contra $e^{*}$-closed,

Abstract :

The aim of this paper is to introduce and study two new classes offunctions called weakly $e^{*}$-open functions and weakly$e^{*}$-closed functions via the concept of $e^{*}$-open set definedby Ekici \cite{erd1}. The notions of weakly $e^{*}$-open and weakly$e^{*}$-closed functions are weaker than the notions of weakly$\beta$-open and weakly $\beta$-closed functions defined by Caldasand Navalagi \cite{cal}, respectively. Moreover, we investigate notonly some of their fundamental properties, but also theirrelationships with other types of existing topological functions.‎

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