Title: Dynamical Systems Method for solving nonlinear equations with locally Holder continuous monotone operators
Authors: N.S. Hoang
Addresses: Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, USA
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.
Keywords: DSM; dynamical systems method; nonlinear operator equations; monotone operators; discrepancy principle.
International Journal of Computing Science and Mathematics, 2010 Vol.3 No.1/2, pp.56 - 75
Available online: 04 Jul 2010 *Full-text access for editors Access for subscribers Purchase this article Comment on this article