First-order regularization methods for accretive inclusions in a Banach space

被引：0

作者：

Ryazantseva, I. P. ^{[1
]}

机构：

[1] Nizhnii Novgorod State Tech Univ, Nizhnii Novgorod 603600, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 11期

关键词：

accretive operator; m-accretive operator; inversely strongly pseudoaccretive operator; resolvent; regularization; continuous method; iterative method; convergence;

D O I：

10.1134/S0965542514110116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1647 / 1658

页数：12

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