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

被引：0
作者：
I. P. Ryazantseva
机构：
[1] Nizhni Novgorod State Technical University,
来源：
Computational Mathematics and Mathematical Physics | 2014年 / 54卷
关键词：
accretive operator; m-accretive operator; inversely strongly pseudoaccretive operator; resolvent; regularization; continuous method; iterative method; convergence;
D O I：
暂无
中图分类号：
学科分类号：
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
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页码：1647 / 1658
页数：11
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