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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

5 votes
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319 views

Two Concepts of Monotonicity

Let $K$ be a closed convex subset in $\mathbb{R}^n$ and $F: K\rightarrow \mathbb{R}^n$. We say that $F$ is strongly monotone on $K$ if there exists $\gamma>0$ such that $$ \langle F(y)-F(x), y-x\r …