September 24, 2025Open Access

A note on the c-monotonicity in optimal transport with capacity constraints

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The study identifies and defines c-capacity monotonicity relevant to optimal transport.
The concept represents an extension of c-cyclical monotonicity within optimal transport frameworks.
It demonstrates that optimizers in the presence of capacity constraints exhibit c-capacity monotonicity.
These findings contribute to the geometric understanding of capacity-constrained optimal transport problems.

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This note reveals the c-capacity monotonicity of optimizers in optimal transport problems with constraints.

Dongwei Chen (2025) studied this question.

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