cocoercive

English

Etymology

co- +‎ coercive

Adjective

cocoercive (not comparable)

1. (mathematics, of an operator) 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||², where Ax is the operator applied to x.
   • 2015, Patrick L. Combettes, Jean-Christophe Pesquet, “Stochastic Approximations and Perturbations in Forward-Backward Splitting for Monotone Operators”, in arXiv‎^[1]:

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