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.
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页码：32 / 37
页数：5
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