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arXiv · 1002.4162

Dynamical Systems Method for solving nonlinear equations with locally Holder continuous monotone operators

N. S. Hoang
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Abstract

A version of the Dynamical Systems Method for solving ill-posed nonlinear equations with monotone and locally Hölder continuous operators is studied in this paper. A discrepancy principle is proposed and justified under natural and weak assumptions. The only smoothness assumption on $F$ is the local Hölder continuity of order $α>1/2$.

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N. S. Hoang. 2010-03-26. Dynamical Systems Method for solving nonlinear equations with locally Holder continuous monotone operators. https://arxiv.org/abs/1002.4162

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