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