International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 174042, 12 pages
doi:10.1155/2009/174042
Weak and Strong Forms of ω-Continuous Functions
Ahmad Al-Omari1
, Takashi Noiri2
and Mohd.Salmi Md. Noorani3
1Department of Mathematics, Faculty of Science, Mu'tah University, P.O. Box 7, Karak 61710, Jordan
22949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken 869-5142, Japan
3School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
Abstract
We introduce weak and strong forms of ω-continuous functions, namely, θ-ω-continuous and strongly θ-ω-continuous functions, and investigate their fundamental properties.