On problem of nearest common fixed point of nonexpansive mappings

DOI10.1007/S10483-006-0703-ZzbMath1111.47060OpenAlexW1595029117MaRDI QIDQ2432589

Shi Sheng Zhang

Publication date: 25 October 2006

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10397/60210

zbMATH Keywords

strong convergencecommon fixed pointsviscosity approximationweakly sequentially continuous duality mapdemi-closedness principlenormalized duality mapinfinite sequence of nonexpansive mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
• On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
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• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Viscosity approximation methods for nonexpansive mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
• Fixed point theorems for asymptotically nonexpansive mappings
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Some problems and results in the study of nonlinear analysis

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