Summary We investigate further properties of semi-I-open sets and semi-I-continuous functions introduced in  and give the notions of semi-I-open and semi-I-closed functions.
We have introduced α-I-open, semi-I-open and β-I-open sets via idealization and using these sets obtained new decompositions
We shall introduce the notions of Λsp-closed and spg-closed sets. We also investigate properties of these sets and introduce
some related new separation axioms.
We introduce the notions of δ-t-sets, δβ-t-sets, δ-B-continuity and δβ -B-continuity and obtain decompositions of continuity and complete continuity.
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Copyright Akadémiai Kiadó AKJournals is the trademark of Akadémiai Kiadó's journal publishing business branch.