On the convergence of two-step methods generated by point-to-point operators

DOI10.1016/S0096-3003(98)10016-4zbMath0939.65088OpenAlexW4253940156MaRDI QIDQ5906391

Ioannis K. Argyros

Publication date: 10 July 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10016-4

zbMATH Keywords

convergenceBanach spaceserror analysisnonlinear operator equationspartially ordered topological spacetwo-step methodsnonlinear integral equations of Uryson-typepoint-to-point operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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• Quadratic equations and applications to Chandrasekhar's and related equations
• Convergence domains of certain iterative methods for solving nonlinear equations
• On the monotone convergence of general Newton-like methods

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