Newton-Kantorovich iterative regularization and generalized discrepancy principle for nonlinear ill-posed equations involving accretive mappings

被引：0

作者：

Buong N. ^{[1
]}

Nguyen N.D. ^{[2
]}

Thuy N.T.T. ^{[3
]}

机构：

[1] Vietnamese Academy of Science and Technology, 18, Hoang Quoc Viet, Hanoi

[2] Vietnamese Foreign Trade University, 91 Chua Lang, Lang Thuong, Dong Da, Hanoi

[3] Thainguyen College of Sciences, Thainguyen University, Tan Thinh Ward, Thai Nguyen

来源：

Russian Mathematics | 2015年 / 59卷 / 5期

关键词：

accretive and α-strong accretive mapping; Fréchet differentiable and the Browder-Tikhonov regularization; reflexive Banach space;

D O I：

10.3103/S1066369X15050047

中图分类号：

学科分类号：

摘要：

In this paper, in order to solve nonlinear ill-posed operator equations involving an m-accretive mapping on a real Banach space, that does not admit a weak sequential continuous duality mapping, we prove a strongly convergent theorem for Newton-Kantorovich iterative regularization method with a posteriori stopping rule. In our results, the Lipschitz continuity of the derivatives for the mapping is not necessary. © 2015, Allerton Press, Inc.

引用

页码：32 / 37

页数：5

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