Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2012; 27(4): 809-813

Printed December 1, 2012

https://doi.org/10.4134/CKMS.2012.27.4.809

Copyright © The Korean Mathematical Society.

$R(g,g')$-continuity on generalized topological spaces

Young Key Kim and Won Keun Min

MyongJi University, Kangwon National University

Abstract

We introduce the notion of $R(g,g^{'})$-continuity on generalized topological spaces, which is a strong form of $(g,g')$-continuity. We investigate some properties and relationships among $R(g,g^{'})$-continuity, $(g,g^{'})$-continuity and some strong forms of $(g,g')$-continuity.

Keywords: $(g,g^{'})$-continuous, super $(g,g^{'})$-continuous, strongly $\theta(g, g')$-continuous, $R(g,g^{'})$-continuous, $G$-regular

MSC numbers: 54A05

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