On the convergence of a certain class of iterative procedures under relaxed conditions with applications

DOI10.1016/S0377-0427(98)00060-0zbMath0939.65087MaRDI QIDQ1298595

Ioannis K. Argyros

Publication date: 1998

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

zbMATH Keywords

convergenceBanach spacesinexact Newton-like methodsnonlinear integral equation of Uryson typePtak-like conditions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Shells (74K25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

An improved local convergence analysis for Newton-Steffensen-type method ⋮ Relaxing convergence conditions for Newton's method

Cites Work

• Unnamed Item
• A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions
• Some notions of nonstationary multistep iteration processes
• A special matrix equation and its application in microelectronics
• On the convergence of modified contractions
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Convergence domains of certain iterative methods for solving nonlinear equations
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• On the application of the newton-kantorovich method to nonlinear integral equations of uryson type

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