On some forms of open sets in generalized topological spaces defined by the ideals

The main purpose of this work is to introduce and study two new operator associated with Ψ and δ-int operators in ideal topological spaces. For this purpose, the basic characteristics of these operators were first investigated. Moreover, not only Ψ and δ-int operators but also Ψ_δ operator defined via these operators have been introduced and investigated. Some characterizations of Ψ_δ-open sets defined via Ψ_δ operator have been obtained. Also, it has been shown that the family of all Ψ_δ-open sets is a topology. Finally, some relationships between continuous functions and Ψ_δ functions obtained through Ψ_δ operator have been investigated.