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Regularization of nonlinear Ill-posed equations with accretive operators

Fixed Point Theory and Applications volume 2005, Article number: 406439 (2005) Cite this article

Abstract

We study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important examples of applications are evolution equations and co-variational inequalities in Banach spaces.

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Authors and Affiliations

  1. Department of Mathematics, Technion - Israel Institute of Technology, Haifa, 32000, Israel

    YaI Alber

  2. Mathematics Section, The Abdus Salam International Centre for Theoretical Physics, Trieste, 340314, Italy

    CE Chidume & H Zegeye

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  1. YaI Alber
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  2. CE Chidume
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  3. H Zegeye
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Correspondence to YaI Alber.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Alber, Y., Chidume, C. & Zegeye, H. Regularization of nonlinear Ill-posed equations with accretive operators. Fixed Point Theory Appl 2005, 406439 (2005). https://doi.org/10.1155/FPTA.2005.11

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  • DOI: https://doi.org/10.1155/FPTA.2005.11