Viscosity approximative methods to Cesàro mean iterations for nonexpansive nonself-mappings in Banach spaces

DOI10.1016/j.amc.2007.12.017zbMath1207.65075OpenAlexW2003325556MaRDI QIDQ945243

Rabian Wangkeeree

Publication date: 12 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.12.017

zbMATH Keywords

uniformly convex Banach spacesunny nonexpansive retractionnonexpansive nonself-mappingweakly sequentially continuous duality mappingviscosity Cesàro means

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Ergodic approximations via matrix regularization approach ⋮ Mixed approximation for nonexpansive mappings in Banach spaces

Cites Work

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• Strong convergence of averaging iterations of nonexpansive nonself-mappings
• Viscosity approximative methods to Cesàro means for non-expansive mappings
• A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
• Strong convergence to common fixed points of families of nonexpansive mappings
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Viscosity approximation methods for nonexpansive mappings
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• A Fixed-Point Theorem for Inward and Outward Maps

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