Stability of Mann's iterates under metric regularity

DOI10.1016/j.amc.2009.05.057zbMath1179.65060OpenAlexW2021210858MaRDI QIDQ732407

Michel H. Geoffroy

Publication date: 9 October 2009

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

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

zbMATH Keywords

algorithmset-valued mappingBanach spacemetric regularitystrong metric regularityMann's iterationmetric subregularity

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

A Lyusternik-Graves theorem for the proximal point method ⋮ Equivalence of semistability of Picard, Mann, Krasnoselskij and Ishikawa iterations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type
• Generalized Mann iterates for constructing fixed points in Hilbert spaces
• Regularity and conditioning of solution mappings in variational analysis
• A note on segmenting Mann iterates
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Some continuity properties of polyhedral multifunctions
• Semi-continuity of set-valued monotone mappings
• Monotone Operators and the Proximal Point Algorithm
• An Inverse Mapping Theorem for Set-Valued Maps
• Metric regularity and subdifferential calculus
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
• The radius of metric regularity
• Approximation of Fixed Points of Metrically Regular Mappings
• Mean Value Methods in Iteration
• Set-valued analysis

This page was built for publication: Stability of Mann's iterates under metric regularity