Strongly monotone operator

In functional analysis, a set-valued mapping $$A:X\to 2^X$$ where X is a real Hilbert space is said to be strongly monotone if
 * $$\exists\,c>0 \mbox{ s.t. } \langle u-v, x-y \rangle\geq c \|x-y\|^2 \quad \forall x,y\in X, u\in Ax, v\in Ay.$$

This is analogous to the notion of strictly increasing for scalar-valued functions of one scalar argument.