ITERATIVE REGULARIZATION METHODS FOR NONLINEAR ILL-POSED OPERATOR EQUATIONS WITH M-ACCRETIVE MAPPINGS IN BANACH SPACES

被引：9

作者：

Argyros, Ioannis K. ^{[1
]}

George, Santhosh ^{[2
]}

机构：

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[2] Natl Inst Technol Karnataka, Dept Math & Computat Sci, Surathkal 575025, India

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 06期

关键词：

nonlinear ill-posed equations; iterative regularization; m-accretive operator; Newton type method; LAVRENTIEV REGULARIZATION;

D O I：

10.1016/S0252-9602(15)30056-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a modified Newton type iterative method is considered for approximately solving ill-posed nonlinear operator equations involving m-accretive mappings in Banach space. Convergence rate of the method is obtained based on an a priori choice of the regularization parameter. Our analysis is not based on the sequential continuity of the normalized duality mapping.

引用

页码：1318 / 1324

页数：7

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