International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 39320, 11 pages
doi:10.1155/IJMMS/2006/39320

Some results on (δ-pre, s)-continuous functions

Adem Kiliçman1 and Zabidin Salleh2

1Department of Mathematics, University Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia
2Institute for Mathematical Research, University Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia

Received 7 September 2005; Revised 2 May 2006; Accepted 7 May 2006

Copyright © 2006 Adem Kiliçman and Zabidin Salleh. 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 study some properties of (δ-pre, s)-continuous functions. Basic characterizations and several properties concerning (δ-pre, s)-continuous functions are studied. The general cases for the composition of functions under specific conditions which yield (δ-pre, s)-continuous functions are also studied and we obtained some results.