English

60 years of cyclic monotonicity: a survey

Optimization and Control 2024-02-14 v2

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.

Keywords

Cite

@article{arxiv.2308.07682,
  title  = {60 years of cyclic monotonicity: a survey},
  author = {L. De Pascale and A. Kausamo and K. Wyczesany},
  journal= {arXiv preprint arXiv:2308.07682},
  year   = {2024}
}

Comments

Post-referee version