Iterative algorithms with variable anchors for non-expansive mappings

DOI10.1007/S12190-008-0074-ZzbMath1168.47055OpenAlexW2154779016MaRDI QIDQ949334

Yeong-Cheng Liou, Yonghong Yao, Hai-Yun Zhou

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0074-z

zbMATH Keywords

iterative algorithmstrong convergencefixed pointnonexpansive mappingviscosity approximation method

Mathematics Subject Classification ID

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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• On viscosity iterative methods for variational inequalities
• Robustness of Mann's algorithm for nonexpansive mappings
• Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• An example concerning fixed points
• 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
• Viscosity approximation methods for nonexpansive mappings
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Iterative approximation of fixed points of nonexpansive mappings
• Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces
• Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• A MANN ITERATIVE REGULARIZATION METHOD FOR ELLIPTIC CAUCHY PROBLEMS
• Iterative Algorithms for Nonlinear Operators
• A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Another control condition in an iterative method for nonexpansive mappings
• Fixed points of nonexpanding maps

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