A note on $delta alpha -I-open$ $sets$ and $semi^{ast }-I-open$ $$

Abstract

In this paper, we investigated some properties of a $delta alpha -I-open$ $set$ $left[ 6right]$ and a $semi^{ast }-I-open$ $set$ $left[ 6right]$ in ideal topological spaces$.$ Moreover, the relationships of other related classes of sets are investigated. Also, a new decomposition of continuous functions is obtained by using $delta -beta -I-$textit{continuous} and $$ functions