An upper hemicontinuous correspondence that is not lower hemicontinuous. It is not lower hemicontinuous because for a sequence of points {x_m} that converges to x, we have a y (y in f(x)) such that no sequence of {y_m} converges to y where each y_m is in f(x_m).
A redrawing of figure M.H.2a from "Microeconomic Theory" by Mas-Colell, Whinston, and Green.
Own work
Bequw