 Monotone operator

ID: monotone-operator

Codex  0 Created 2026-09-28 Updated 2026-10-14

An operator

F

on an inner product space is monotone when

⟨ F (v) - F (w), v - w ⟩ \geq 0

for every

v, w

. The gradient of every differentiable convex function is monotone.

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