Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition

DOI10.1016/j.amc.2015.11.062zbMath1410.65225OpenAlexW2228186496MaRDI QIDQ671013

Dharmendra Kumar Gupta, José L. Hueso, Sukhjit Singh, Eulalia Martínez

Publication date: 20 March 2019

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

Full work available at URL: http://hdl.handle.net/10251/84780

zbMATH Keywords

semilocal convergenceBanach spaceHammerstein integral equationnonlinear equationslocal convergenceHölder condition

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (11)

Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces ⋮ Global convergence domains for an efficient fifth order iterative scheme ⋮ A study of the local convergence of a fifth order iterative method ⋮ Solving nonlinear integral equations with non-separable kernel via a high-order iterative process ⋮ Unnamed Item ⋮ Influence of the center condition on the two-step secant method ⋮ Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces ⋮ Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces ⋮ Local convergence of super Halley's method under weaker conditions on Fréchet derivative in Banach spaces ⋮ Local convergence of parameter based method with six and eighth order of convergence ⋮ Convergence analysis of a sixth-order method under weak continuity condition with first-order Fréchet derivative

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