International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 174042, 12 pages
doi:10.1155/2009/174042
Research Article

Weak and Strong Forms of ω-Continuous Functions

Ahmad Al-Omari,1 Takashi Noiri,2 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

Received 23 July 2009; Accepted 4 November 2009

Academic Editor: Naseer Shahzad

Copyright © 2009 Ahmad Al-Omari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.