Robustness of Mann's algorithm for nonexpansive mappings

DOI10.1016/j.jmaa.2006.05.009zbMath1110.47057OpenAlexW2063509366MaRDI QIDQ860647

Hong-Kun Xu, Tae Hwa Kim

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.009

zbMATH Keywords

weak convergencerobustnessBanach spaceaccretive operatorsnonexpansive mappingsMann iterations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Modified Mann-Halpern algorithms for pseudocontractive mappings, Rates of convergence for inexact Krasnosel'skii-Mann iterations in Banach spaces, Nonexpansiveness of a linearized augmented Lagrangian operator for hierarchical convex optimization, Bounded perturbation resilience and superiorization techniques for the projected scaled gradient method, Convergence of Inexact Mann Iterations Generated by Nearly Nonexpansive Sequences and Applications, Regularized algorithms for hierarchical fixed-point problems, Robustness of Krasnoselski-Mann's algorithm for asymptotically nonexpansive mappings, Iterative algorithms for nonexpansive mappings, A parallel iterative method for solving a class of variational inequalities in Hilbert spaces, Iterative algorithms with variable anchors for non-expansive mappings, A cyclic iterative method for solving a class of variational inequalities in Hilbert spaces, Robustness of Mann type algorithm with perturbed mapping for nonexpansive mappings in Banach spaces, Generalized Krasnoselskii-Mann-type iteration for nonexpansive mappings in Banach spaces, Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces

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