An iterative scheme for solving equations with locally $\sigma$-inverse monotone operators. (arXiv:1002.4165v1 [math.NA])

An iterative scheme for solving equations with locally $\sigma$-inverse monotone operators. (arXiv:1002.4165v1 [math.NA]): "

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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