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

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