Local convergence of generalized Mann iteration

DOI10.1007/s11075-017-0289-xzbMath1386.65151OpenAlexW2592179347MaRDI QIDQ1689444

Laura Măruşter, Ștefan Mărușter

Publication date: 12 January 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/56288973/Local_L.pdf

zbMATH Keywords

fixed pointiterative methodsMann iterationlocal convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Local convergence and radius of convergence for modified Newton method ⋮ Sharp estimation of local convergence radius for the Picard iteration

Cites Work

• Estimating the radius of an attraction ball
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• On the local convergence of a deformed Newton's method under Argyros-type condition
• Mean value iteration of nonexpansive mappings in a Banach space
• Local convergence radius for the Mann-type iteration
• Approximating Fixed Points of Nonexpansive Mappings
• The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
• Convergence and Complexity of Newton Iteration for Operator Equations
• Convergence of Newton's method and uniqueness of the solution of equations in Banach space
• Local convergence of Newton's method in Banach space from the viewpoint of the majorant principle
• A Note on the Convergence of Newton’s Method
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