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Could you tell me what is the accepted notation for the set of limit points of a minimizing sequence. For example, if I have a function $f(x)$ and a sequence $x_t$ such that

$\lim f(x_t) = \inf f(x)$

I want a notation for the (possibly empty) set of limit points of all such sequences. I thought of using

$\arg \inf$

but it is a bit misleading because no argument may actually achieve the $\inf$.

Thanks for your help.

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    Is arginf even possible? If the infimum is a point in the space, it is a minimum. If there is no min, but only a limiting inf, then there is no arginf.2015-10-16

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