Definition of closed multivalued operator.

Question

I have a question about closed operator. Operator $F:X \to Y$ is closed if $(x_n)$ is a sequence in $D(F)$ that is convergent in $X$ and the sequence $(F(x_n))$ is convergent in $Y$, then we have $\lim x_n \in D(F)$ and $F(\lim x_n)= \lim F(x_n)$. Now, how about F multivalued mapping? I mean $F:X \to 2^Y$. Can I use that definition? Thanks.