LAVRENTIEV'S REGULARIZATION METHOD FOR NONLINEAR ILL-POSED EQUATIONS IN BANACH SPACES

被引：6

作者：

George, Santhosh ^{[1
]}

Sreedeep, C. D. ^{[1
]}

机构：

[1] NIT Karnataka, Dept Math & Computat Sci, Mangaluru 575025, India

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 01期

关键词：

nonlinear ill-posed problem; Banach space; Lavrentiev regularization; m-accretive mappings; adaptive parameter choice strategy;

D O I：

10.1016/S0252-9602(17)30133-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the implementation of Lavrentiev regularization method. Using general Holder type source condition we obtain an optimal order error estimate. Also we consider the adaptive parameter choice strategy proposed by Pereverzev and Schock (2005) for choosing the regularization parameter.

引用

页码：303 / 314

页数：12

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