Suppose that f is a G-differential function on $R^{N}_{+}$ that has a local minimum at a point h. Prove that h is a solution of the system $\nabla f(x)\ge 0$ and $\bigl\langle x,\nabla f(x)\bigr\rangle=0$
Anyone know how to prove this? Thank you.
2026-04-28 12:14:31.1777378471
Optimization and Local minimizer
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