A Krasnosel'skii-Zincenko-type method in \(K\)-normed spaces for solving equations
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Publication:1993546
DOI10.1007/s40314-017-0456-7zbMath1416.65155OpenAlexW2614765440MaRDI QIDQ1993546
Ioannis K. Argyros, Gilson N. Silva
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-017-0456-7
Newton-type method\(K\)-normed spacesrestricted convergence domainsKrasnosel'skii-Zincenko-type method
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Cites Work
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- Different anomalies in a Jarratt family of iterative root-finding methods
- A new tool to study real dynamics: the convergence plane
- Weaker conditions for the convergence of Newton's method
- Newton-like methods in generalized Banach spaces
- \(K\)-metric and \(K\)-normed linear spaces: Survey
- Dynamics of the King and Jarratt iterations
- On the Newton-Kantorovich method in \(K\)-normed spaces
- A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
- Chaotic dynamics of a third-order Newton-type method
- A convergence analysis and applications for the Newton-Kantorovich method in \(K\)-normed spaces
- New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
- Convergence and Applications of Newton-type Iterations
- A Convergence Test and Componentwise Error Estimates for Newton Type Methods
- A unifying theorem on newton's method
- On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations
- Generalized differentiability conditions for Newton's method
- Accessibility Of Solutions By Newton's Method
- Newton’s Method for Convex Operators in Partially Ordered Spaces
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