scientific article; zbMATH DE number 6318765

zbMATH Open1291.65155MaRDI QIDQ5168814

Ioannis K. Argyros

Publication date: 21 July 2014

Title of this publication is not available (Why is that?)

zbMATH Keywords

contraction mapping principlefixed pointNewton-like methodsradius of convergenceBanach's fixed-point theoremLipschitz conditionsratio of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

A new iterative method of asymptotic order 1+√2 for the computation of fixed points ⋮ Error bounds for fast two-point Newton methods of order four ⋮ On a posteriori approximation of the set of solutions to a system of quadratic equations using Newton’s method ⋮ Newton methods for stationary points: an elementary view of regularity conditions and solution schemes ⋮ Newton and Steffensen type methods with flexible order of convergence

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