Cyclical monotonicity

In mathematics, cyclical monotonicity is a generalization of the notion of monotonicity to the case of vector-valued function.[1][2]

  1. ^ Levin, Vladimir (1 March 1999). "Abstract Cyclical Monotonicity and Monge Solutions for the General Monge–Kantorovich Problem". Set-Valued Analysis. 7. Germany: Springer Science+Business Media: 7–32. doi:10.1023/A:1008753021652. S2CID 115300375.
  2. ^ Beiglböck, Mathias (May 2015). "Cyclical monotonicity and the ergodic theorem". Ergodic Theory and Dynamical Systems. 35 (3). Cambridge University Press: 710–713. doi:10.1017/etds.2013.75. S2CID 122460441.