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

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 $\alpha >1/2$.

16 pages

References in corpus (3)

• Dynamical Systems Gradient method for solving nonlinear equations with monotone operators
• Dynamical systems method for solving nonlinear equations with monotone operators
• Global convergence for ill-posed equations with monotone operators: the dynamical systems method