Regularization Methods for Ill-Posed Problems with Monotone Nonlinear Part

Authors

  • Ioannis K. Argyros Department of Mathematicsal Sciences, Cameron University, Lawton, OK 73505, USA.
  • Santhosh George Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India-757 025.

Keywords:

Regularization methods, ill-posed, problems, Hammerstein type operator equation, majorizing sequences

Abstract

 We present regularization methods for solving ill-posed Hammerstein type operator equations under weaker conditions than in earlier studies such as [13]. Our semilocal convergence analysis is based on majorizing sequences. Numerical examples where the new convergence criteria are satisfied but the old criteria are not satified are also presented at the end of the study. 

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Published

2014-06-30

Issue

Vol. 46 No. 1 (2014)

Section

Articles

How to Cite

Regularization Methods for Ill-Posed Problems with Monotone Nonlinear Part. (2014). Punjab University Journal of Mathematics, 46(1), 25-38. https://pujm.pu.edu.pk/index.php/pujm/article/view/21