Convergence Criterion and Convergence Ball of the King-werner Method under the Radius Lipschitz Condition
نویسندگان
چکیده
The convergence of the King-Werner method for finding zeros of nonlinear operators is analyzed. Under the hypothesis that the derivative of f satisfies the radius Lipschitz condition with L-average, the convergence criterion and the convergence ball for the King-Werner method are given. Applying the results to some particular functions L(u), we get the convergence theorems in [7] and [1] as well as some new results.
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