Dynamical Systems Method for solving nonlinear equations with locally Holder continuous monotone operators Online publication date: Sun, 04-Jul-2010
by N.S. Hoang
International Journal of Computing Science and Mathematics (IJCSM), Vol. 3, No. 1/2, 2010
Abstract: A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone and locally Hoelder 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 Hoelder continuity of order α>1/2.
Online publication date: Sun, 04-Jul-2010
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