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

Details An iterative scheme for solving equations with locally $σ$-inverse monotone operators An iterative scheme for solving equations with locally $σ$-inverse monotone operators

2010-02-22

arxiv.org/abs/1002.4165v1

Mathematics

Numerical Analysis

23 pages, 2 figures

Scientific paper

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.

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