数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1318-1324.doi: 10.1016/S0252-9602(15)30056-4

• 论文 • 上一篇    下一篇

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

Ioannis K. ARGYROS1, Santhosh GEORGE2   

  1. 1. Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA;
    2. Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Surathkal-575025, India
  • 收稿日期:2015-05-11 修回日期:2014-08-29 出版日期:2015-11-01 发布日期:2015-11-01
  • 作者简介:Ioannis K. ARGYROS, E-mail: iargyros@cameron.edu;Santhosh GEORGE, E-mail: sgeorge@nitk.ac.in

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

Ioannis K. ARGYROS1, Santhosh GEORGE2   

  1. 1. Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA;
    2. Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Surathkal-575025, India
  • Received:2015-05-11 Revised:2014-08-29 Online:2015-11-01 Published:2015-11-01

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.

关键词: nonlinear ill-posed equations, iterative regularization, m-accretive operator, Newton type method

Abstract:

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.

Key words: nonlinear ill-posed equations, iterative regularization, m-accretive operator, Newton type method

中图分类号: 

  • 47J05