STRONGLY G-β-OPEN SETS AND DECOMPOSITIONS OF CONTINUITY VIA GRILLS
AHMAD AL-OMARI(1), TAKASHI NOIRI(2)
1. Al al-Bayt University, Faculty of Sciences, Department of Mathematics, P.O. Box 130095, Mafraq 25113, JORDAN, e-mail: omarimutah1@yahoo.com
2. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JAPAN, e-mail:t.noiri@nifty.com
Abstract
In this paper, we introduce and investigate the notions of strongly G-β-open sets and G-β-open sets in a topological space with a grill. Furthermore, by using these sets, we obtain new decompositions of continuity.