Pseudo-monotone function

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LaTeX: \textstyle f: \mathbb{R}^n \to \mathbb{R}^n is pseudo-monotone over LaTeX: X (subset of LaTeX: \textstyle \mathbb{R}^n) if


LaTeX: 
f(y)^T (x - y) \ge 0 \mbox{ implies } f(x)^T (x - y) \ge 0 \mbox{ for all } x, y \in X.


The gradient of a pseudoconvex function is a pseudo-monotone function.


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