What does "cocoercive" mean?

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

Cocoercive

adj

adj ·Rare ·Advanced level

Definitions

Adjective

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. not-comparable
"Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator."

Example

More examples

"Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator."

Etymology

From co- + coercive.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.