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Let $F$ be a lower semicontinuous functional on a Banach space $X$, wrt its strong topology. Is there a known form for the relaxation (lower semicontinuous envelope) of $F$ with respect to the weak ...

Let $\left\{\begin{matrix} \operatorname{min}_xc^Tx\\Ax\leq b \\ x\in \mathbb{R}^+ \end{matrix}\right.$ be a LP primal problem and $\left\{\begin{matrix} \operatorname{max}_yb^Ty\\A^Ty\geq c \\ y\in ...

The problem at hand is to optimize a mixed-integer linear program closely related to the maximum flow problem. I would like to reformulate the problem with its dual and I'm concerned with the ...