On strongly pre-open sets and a decomposition of continuity

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 someof their properties are studied showing their behavior in comparison to other generalized structures already availablein literature. The final result in this paper gives one new decomposition od continuity.