Abstract

In this paper some new concepts of generalized open sets and generalized continuous functions are studied. The notions of strongly preopen sets, $S$-precontinuous functions, $\delta$-continuous functions are introduced and some of their properties are studied showing their behavior in comparison to other generalized structures already available in literature. The final result in this paper gives one new decomposition od continuity.

Keywords: Strongly pre-open sets, $S$-precontinuous functions, $\delta$-continuous functions.

MSC: 54C10, 54A05

Pages:  121$-$125     

Volume  57 ,  Issue  3$-$4 ,  2005