Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings

DOI10.1631/JZUS.2007.A2032zbMath1138.47051OpenAlexW2096686978MaRDI QIDQ926069

Ya-Qin Wang

Publication date: 26 May 2008

Published in: Journal of Zhejiang University. Science A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1631/jzus.2007.a2032

zbMATH Keywords

nonexpansive mappingOpial conditioncompletely continuousiteration scheme with perturbed mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Perturbations of nonlinear operators (47H14)

Cites Work

• Unnamed Item
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• An iteration method for nonexpansive mappings in Hilbert spaces
• Approximating fixed points by ishikawa iterates
• Inequalities in Banach spaces with applications
• Approximating Fixed Points of Nonexpansive Mappings

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