Word.ws English Dictionary

cocoercive

cocoercive adjective: having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x.

Adjective

cocoercive (not comparable)

  1. Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x.
    • Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator.2015, Patrick L. Combettes, Jean-Christophe Pesquet, “Stochastic Approximations and Perturbations in Forward-Backward Splitting for Monotone Operators”, in arXiv

Origin of cocoercive

From co- + coercive.

Questions about cocoercive

What does cocoercive mean?
Cocoercive means having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x.
What part of speech is cocoercive?
Cocoercive is an adjective.

Words near cocoercive in the dictionary

  1. cocobolas
  2. cocobolo
  3. cocobolos
  4. cocodette
  5. cocodettes
  6. cocoercive
  7. cocoes
  8. cocoliche
  9. cocoliztli
  10. cocolonization
  11. cocoloring

Source and license

Adapted from Wiktionary: cocoercive (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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