I'm reading a paper about Lasry-Lions regularisation. In Theorem 1 of the paper, considered function $f$ is assumed to be minorised.
What does it mean?
EDIT: Is it equivalent to "bounded below"?
2026-03-26 21:25:36.1774560336
What does "a function is minorised" mean?
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It means that the range of $f$ has a lower bound. In other words, there is some $L\in\Bbb R$ such that$$(\forall x\in X):f(x)\geqslant L.$$