A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations

被引：2
|
作者：
Buong N. [1 ]
Huong T.T. [2 ]
Thuy N.T.T. [3 ]
机构：
[1] Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi
[2] Thainguyen National University, Thainguyen City
[3] Thainguyen College of Sciences, Thainguyen City
来源：
Russian Mathematics | 2016年 / 60卷 / 3期
关键词：
Freéchet differentiable; hemicontinuous; monotone operators; strictly convex Banach space; the Browder–Tikhonov regularization method;
D O I：
10.3103/S1066369X16030063
中图分类号：
学科分类号：
摘要：
In this paper we study the Browder–Tikhonov regularization method for finding a common solution for a system of nonlinear ill-posed equations with potential, hemicontinuous and monotone mappings in Banach spaces. We give a principle, named quasi-residual, to choose a value of the regularization parameter and an estimate of convergence rates for the regularized solutions. © 2016, Allerton Press, Inc.
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页码：47 / 55
页数：8
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