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Lavrentiev’s Regularization Method for Nonlinear Ill-posed Equations in Banach Spaces

Publication Type : Journal Article

Publisher : Acta Mathematica Scientia.

Source : Acta Mathematica Scientia, vol. 38, pp. 303 - 314, 2018

Url : http://www.sciencedirect.com/science/article/pii/S0252960217301339

Keywords : Accretive mappings, 47H09, 47J05, 49J30, adaptive parameter choice strategy, Banach space, Lavrentiev regularization, nonlinear ill-posed problem.

Campus : Amritapuri

School : School of Arts and Sciences

Department : Mathematics

Year : 2018

Abstract : In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the implementation of Lavrentiev regularization method. Using general Hölder type source condition we obtain an optimal order error estimate. Also we consider the adaptive parameter choice strategy proposed by Pereverzev and Schock (2005) for choosing the regularization parameter.

Cite this Research Publication : Santhosh George and Sreedeep C. D., “Lavrentiev's Regularization Method for Nonlinear Ill-posed Equations in Banach Spaces”, Acta Mathematica Scientia, vol. 38, pp. 303 - 314, 2018

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