
doi: 10.4171/zaa/460
We use the Zincenko iteration to approximate implicit functions in a Banach space by solving a linear algebraic system of finite order. The non-linear equations involved contain a non-differentiable term. Our hypotheses are more general than Zabrejko and Nguen's [10], in this case.
Extrapolation to the limit, deferred corrections, Iterative procedures involving nonlinear operators, Derivatives of functions in infinite-dimensional spaces, approximate implicit functions in a Banach space, Numerical solutions to equations with nonlinear operators, Linear spaces of operators, linear algebraic system of finite order
Extrapolation to the limit, deferred corrections, Iterative procedures involving nonlinear operators, Derivatives of functions in infinite-dimensional spaces, approximate implicit functions in a Banach space, Numerical solutions to equations with nonlinear operators, Linear spaces of operators, linear algebraic system of finite order
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