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

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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. 
@article{ZVMMF_2014_54_11_a2,
     author = {I. P. Ryazantseva},
     title = {First-order regularization methods for accretive inclusions in a {Banach} space},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1711--1723},
     publisher = {mathdoc},
     volume = {54},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a2/}
}
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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/