# Article

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Keywords:
multifunction; Hausdorff distance; convex processes; covering dimension; differential inclusion
Summary:
In this paper we shall establish a result concerning the covering dimension of a set of the type $\{x\in X:\Phi (x)\cap \Psi (x)\neq \emptyset \}$, where $\Phi$, $\Psi$ are two multifunctions from $X$ into $Y$ and $X$, $Y$ are real Banach spaces. Moreover, some applications to the differential inclusions will be given.
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