Weak and strong convergence of the Ishikawa iterative process for a finite family of asymptotically nonexpansive mappings

DOI10.1016/j.amc.2010.05.001zbMath1205.65187OpenAlexW2080773894MaRDI QIDQ988605

Xuewu Wang, Giuseppe Marino, Filomena Cianciaruso

Publication date: 18 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.001

zbMATH Keywords

asymptotically nonexpansive mappinguniformly convex Banach spacecommon fixed pointweak and strong convergenceIshikawa implicit iterative process with errors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings ⋮ Approximating common random fixed point for two finite families of asymptotically nonexpansive random mappings ⋮ Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings ⋮ On the convergence of implicit iterative processes for asymptotically pseudocontractive mappings in the intermediate sense

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