On the Newton-Kantorovich method inK-normed spaces
Copyright policy )On the Newton-Kantorovich method inK-normed spaces
The nonlinear operator equation \( f(x) + g(x) = 0 \) in \(K\)-normed spaces is analysed, where \(f\) is differentiable but \(g\) is not. Here \(K\) is a closed convex regular cone in a real Banach space. Under reasonable assumptions, esp. \(f'\) and \(g\) being Lipschitz in some ball, the authors prove solvability by means of the convergence of a Newton-Kantorovich-type iteration.
- University of Calabria Italy
Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, nonlinear operator equation, \(K\)-normed space, Newton-Kantorovich iteration
Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, nonlinear operator equation, \(K\)-normed space, Newton-Kantorovich iteration
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