Continuous first-order methods for monotone inclusions in a Hilbert space
Irina P. Ryazantseva · Computational Mathematics and Mathematical Physics · 2013
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.