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.

DOI: 10.1504/IJCSM.2010.033927

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