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

Author

Listed:
  • Santhosh George

    (Department of Mathematical & Computational Science, National Institute of Technology Karnataka, Surathkal 575 025, India)

  • Jidesh Padikkal

    (Department of Mathematical & Computational Science, National Institute of Technology Karnataka, Surathkal 575 025, India)

  • Krishnendu Remesh

    (Department of Mathematical & Computational Science, National Institute of Technology Karnataka, Surathkal 575 025, India)

  • Ioannis K. Argyros

    (Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA)

Abstract

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).

Suggested Citation

  • Santhosh George & Jidesh Padikkal & Krishnendu Remesh & Ioannis K. Argyros, 2022. "A New Parameter Choice Strategy for Lavrentiev Regularization Method for Nonlinear Ill-Posed Equations," Mathematics, MDPI, vol. 10(18), pages 1-24, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3365-:d:916547
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    References listed on IDEAS

    as
    1. Ioannis K. Argyros, 2021. "Unified Convergence Criteria for Iterative Banach Space Valued Methods with Applications," Mathematics, MDPI, vol. 9(16), pages 1-15, August.
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