Let $K \subset[0,1]$ and $\Psi: K \rightarrow\left(2^K\right)_0^F$. Give an example where $\Psi$ has no fixed point because:
(a) $\Psi$ satisfies the conditions of Theorem $6.34, K$ is compact, but $K$ is not convex;
(b) $\Psi$ satisfies the conditions of Theorem $6.34, K$ is convex, but $K$ is not compact;
(c) $K=[0,1]$ and $\Psi$ is uhc, but $\Psi$ is not convex-valued;
(d) $K=[0,1]$ and $\Psi$ is convex-valued, but $\Psi$ is not uhe.