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

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

2010-02-22

arxiv.org/abs/1002.4162v2

Mathematics

Dynamical Systems

16 pages

Scientific paper

A version of the Dynamical Systems Method for solving ill-posed nonlinear
equations with monotone and locally H\"{o}lder 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
H\"{o}lder continuity of order $\alpha>1/2$.

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