In this article we established the concept of multi-continuity in minimal structure spaces (in short $\mathscr{M}$ space) and the notion of product minimal space in multiset topological space. Continuity between $\mathscr{M}$-space, generalized multiset topology and multiset ideal topological spaces. We have investigated some basic properties of $\mathscr{M}$–continuity in multiset topological space, such as composition of $\mathscr{M}$–continuous functions, product of $\mathscr{M}$–continuous functions in product multiset topological space etc.
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