A third order method for fixed points in Banach spaces

DOI10.1016/j.jmaa.2009.05.057zbMath1205.65190OpenAlexW2007780595MaRDI QIDQ837602

Sanjaya Kumar Parhi, Dharmendra Kumar Gupta

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.057

zbMATH Keywords

Banach spaceserror boundssemilocal convergenceNewton-like methodFréchet derivativenonlinear operator equationsStirling-like methodHölder continuity conditiontwo nonlinear integral equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

Convergence of a Stirling-like method for fixed points in Banach spaces ⋮ Recurrence relations for semilocal convergence of a fifth-order method in Banach spaces ⋮ Convergence of a third order method for fixed points in Banach spaces

Cites Work

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