Geodesic
First-order regularization methods for accretive inclusions in a Banach space
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1711-1723 Cet article a éte moissonné depuis la source Math-Net.Ru

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Equations with set-valued accretive operators in a Banach space are considered. Their solutions are understood in the sense of inclusions. By applying the resolvent of the set-valued part of the equation operator, these equations are reduced to ones with single-valued operators. For the constructed problems, a regularized continuous method and a regularized first-order implicit iterative process are proposed. Sufficient conditions for their strong convergence are obtained in the case of approximately specified data. 
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I. P. Ryazantseva. First-order regularization methods for accretive inclusions in a Banach space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1711-1723. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a2/

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