On $ \delta b $-open continuous functions

• Main Authors: Cenap Ozel, M. A. Al Shumrani, Aynur Keskin Kaymakci, Choonkil Park, Dong Yun Shin
• Format: Article
• Language: English
• Published: AIMS Press 2021-01-01
• Series: AIMS Mathematics
• Subjects: $ r $-map; almost $ \delta b $-continuity$; b $-continuity; semi-regularization
• Online Access: http://www.aimspress.com/article/doi/10.3934/math.2021178?viewType=HTML
• ISSN: 2473-6988

In this paper, we define an almost $ \delta b $-continuity, which is a weaker form of $ R $-map and we investigate and obtain its some properties and characterizations. Finally, we show that a function $ f:\left(X, \tau \right) \rightarrow \left(Y, \varphi \right)  $ is almost $ \delta b $-continuous if and only if $ f:\left(X, \tau _{s}\right) \rightarrow \left(Y, \varphi _{s}\right)  $ is $ b $-continuous, where $ \tau _{s} $ and $ \varphi _{s} $ are semiregularizations of $ \tau $ and $ \varphi $, respectively.