On m-I-Continuous Multifunctions

Abstract

Let mIO(X) be the family of ⋆-open (resp. α-I-open, pre-I-open, semi-I-open, β-I-open, etc.) sets in an ideal topological space (X, τ, I). By using mIO(X), we introduce and investigate the notions of an m-I-continuous multifunction F : (X, τ, I) → (Y, σ) and mi⋆ -continuous multifunction F : (X, τ, I) → (Y, σ, J). The notion of mi⋆ -continuity is a generalization of m-I-continuity and i⋆-continuity [9].