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Integrating over correspondences

However, continuity of $A$ is not a necessary condition. For example, let $X=Y=[0,1]$, $f(y)=y$ and $A(x)=\{y\in Y:|y-0.3|\geq x\}$. …
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5 votes
1 answer
498 views

affine vs lipschitz

Let $(X,||\cdot||)$ be a normed space where $||\cdot||$ is the sup-norm and let $E$ be a convex and compact subset. Let $f:E\to [0,1]$ be continuous and affine, i.e. for all $x,y\in E$ and all $\lambd …
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