Mathematics (Sep 2022)

A New Parameter Choice Strategy for Lavrentiev Regularization Method for Nonlinear Ill-Posed Equations

  • Santhosh George,
  • Jidesh Padikkal,
  • Krishnendu Remesh,
  • Ioannis K. Argyros

DOI
https://doi.org/10.3390/math10183365
Journal volume & issue
Vol. 10, no. 18
p. 3365

Abstract

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In this paper, we introduced a new source condition and a new parameter-choice strategy which also gives the known best error estimate. To obtain the results we used the assumptions used in earlier studies. Further, we studied the proposed new parameter-choice strategy and applied it to the method (in the finite-dimensional setting) considered in George and Nair (2017).

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