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.

引用

页码：47 / 55

页数：8

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