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

Santhosh George, Jidesh Padikkal, Krishnendu Remesh and Ioannis K. Argyros ()
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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

Mathematics, 2022, vol. 10, issue 18, 1-24

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).

Keywords: nonlinear ill-posed equations; finite dimension; iterative method; Lavrentiev regularization; a new parameter-choice strategy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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