In mathematics, cyclical monotonicity is a generalization of the notion of monotonicity to the case of vector-valued function. == Definition == Let ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } denote the inner product on an inner product space X {\displaystyle X} and let U {\displaystyle U} be a nonempty subset of X {\displaystyle X} .
In mathematics, cyclical monotonicity is a generalization of the notion of monotonicity to the case of vector-valued function. == Definition == Let ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } denote the inner product on an inner product space X {\displaystyle X} and let U {\displaystyle U} be a nonempty subset of X {\displaystyle X} .
Source: Wikipedia "Cyclical monotonicity" · CC BY-SA 4.0
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