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Abstract  

First, we introduce the notion of f I-sets and investigate their properties in ideal topological spaces. Then, we also introduce the notions of R I C-continuous, f I-continuous and contra*-continuous functions and we show that a function f: (X,τ,I) to (Y,ϕ) is R I C -continuous if and only if it is f I-continuous and contra*-continuous.

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