Suppose $f,g : [0,1] \mapsto [0,1]$ are continuous, $f$ is non-decreasing, $g$ is non-increasing, and $f(0)<g(0)$, $f(1)>g(1)$.
Is there a standard notation for the intersection point $x_0$ of $f$ and $g$, defined as $ x_0 = \inf\{ x\in[0,1] : f(x) \geq g(x) \} $?
If so, I would also be interested in a reference, where such notation is used.