I am looking for some bibliographic references where I can find a relationship between recession cone of a set $U\subset\mathbb{R}^n$ and the minimum / maximum of a function $f\colon U\to\mathbb{R}^n$. For example "if $a\in U$ is min of $f$ then $U_\infty$ is ..."
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$\begingroup$ This question is pretty unclear/broad. Is there any relation between $f$ and $U$? $\endgroup$– gerwCommented Oct 6, 2016 at 10:51
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$\begingroup$ @gerw this is exactly the question, a relation for a recession cone and a convex function. I found something which envolves the recession of the level sets for a convex, closed f. $\endgroup$– L FCommented Oct 6, 2016 at 10:55
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