On the Topology of $\delta_{\omega}$-Open Sets and Related Topics

The main purpose of this paper is to study the notion of the δωδω-open sets defined by Al-Jarrah et al via δωδω-closure operator in [4]. We give various properties of the notions of δωδω-closure operator and δωδω-open set. Also, we introduce the notions of δωδω-continuity, ωω-δδ-continuity and weakly δωδω-continuity by means of δωδω-open sets [4]. Furthermore, we obtain several relationships, examples and counter-examples related to new classes of functions.

Keywords:

$\delta_w$-open, $\delta_w$-continuity $w$-$\delta$-continuity, weakly $\delta_w$-continuity,

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Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

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