Nesterov's Smoothing-Part 4

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Thank you very much for these lectures, Prof. Nguyen.

avimohan
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Sory i forgot to say that f is defined on the normal space x and takes its values in R with positive and negative infinity

samisami
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How to prove that
Argminf is contained in argming
Whereas
g is maximum and semi continuous function and limit f of the lowest

samisami