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

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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. 
@article{ZVMMF_2013_53_8_a2,
     author = {I. P. Ryazantseva},
     title = {Continuous first-order methods for monotone inclusions in a {Hilbert} space},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1241--1248},
     publisher = {mathdoc},
     volume = {53},
     number = {8},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a2/}
}
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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/