60 years of cyclic monotonicity: a survey

Published 15 Aug 2023 in math.OC | (2308.07682v2)

Abstract: The primary purpose of this note is to provide an instructional summary of the state of the art regarding cyclic monotonicity and related notions. We will also present how these notions are tied to optimality in the optimal transport (or Monge-Kantorovich) problem.

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