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Problem 10.1 Let f: X -> ]-co, too) be convex, closed and proper. Recall that we showed in class that > = Proxy(y) is characterized

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Problem 10.1 Let f: X -> ]-co, too) be convex, closed and proper. Recall that we showed in class that > = Proxy(y) is characterized by y -re Of (x). Show that the global minimizers of f are exactly the fired points of Proxy, i.e.: y is a global minimizer of f y = Proxy(y)

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