cocoercive

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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.

Scrabble 19
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Meanings

adjectivecocoercive (not comparable)
  1. not comparablemathematicsHaving 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

From co- + coercive.

Full word history & related roots →
Cite this entry
APA

cocoercive. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/cocoercive

MLA

“cocoercive.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/cocoercive. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “cocoercive,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/cocoercive.

Source: cocoercive on Wiktionary, CC BY-SA 4.0.