Through the characteristic and properties of ideal we were able to give a new definition to neighborhood of a certain point, but these neighborhoods do not necessarily contain that point. we also introduced a new definition to the local function by using both proximity relation and the idea of the neighborhoods that were indicated, finally we presented most important results and their properties.
A new type of local function in ideal topological spaces was submitted with some theorems and relations between the new type of local function and other types
Various forms of ψ-set corresponding to different cases of spaces were introduced in a previous studies and The relationships among them therefore the focus of the study in this paper is the nature of the effects that can be obtained by using proximity spaces when studying this type of set by investigated a new class of sets called ψδ-set and Fψ –set in i-topological proximity spaces.
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