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

Journal of Linear and Topological Algebra

دوره 09، شماره 03، آذر 2020، صفحه 201-211   

نوع مقاله: Research Paper

نویسندگان

M. Özkoc^{* 1}؛ S. Erdem²

¹Mugla Sitki Kocman University, Faculty of Science, Department of Mathematics, 48000, Mentese-Mugla, Turkey

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

چکیده

The aim of this paper is to introduce and study two new classes of functions called weakly $e^{*}$-open functions and weakly $e^{*}$-closed functions via the concept of $e^{*}$-open set defined by 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 Caldas and Navalagi \cite{cal}, respectively. Moreover, we investigate not only some of their fundamental properties, but also their relationships with other types of existing topological functions.‎

کلیدواژه‌ها

$e^{*}$-open set؛ $e^{*}$-open function؛ weakly $e^{*}$-open function؛ weakly $e^{*}$-closed function؛ contra $e^{*}$-closed

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