Geodesic
Continuous first-order methods for monotone inclusions in a Hilbert space
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1241-1248 
I. P. Ryazantseva. Continuous first-order methods for monotone inclusions in a Hilbert space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1241-1248. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Equations in a Hilbert space that involve multivalued monotone mappings are examined. Solutions to such equations are understood in the inclusion sense. A continuous first-order method and its regularized version are constructed on the basis of the resolvent of the maximal monotone operator, and sufficient conditions for them to converge strongly are obtained.

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