An iterative scheme for solving equations with locally $\sigma$-inverse monotone operators

Abstract

An iterative scheme for solving ill-posed nonlinear equations with locally $\sigma$-inverse monotone operators is studied in this paper. A stopping rule of discrepancy type is proposed. The existence of $u_{n_{\delta }}$ satisfying the proposed stopping rule is proved. The convergence of this element to the minimal-norm solution is justified mathematically.

23 pages, 2 figures

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