Iterative approximation to common fixed points of a countable family of nonexpansive mappings

DOI10.1080/00036810701556144zbMath1220.47120OpenAlexW1974459214MaRDI QIDQ3502175

Yisheng Song

Publication date: 22 May 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701556144

zbMATH Keywords

weakly continuous duality mappingviscosity approximation methodsuniformly asymptotically regular sequence

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items

Convergence analysis and applications of the inertial algorithm solving inclusion problems ⋮ New iteration algorithms for an asymptotically nonexpansive mapping ⋮ Strong convergence of iteration algorithms for a countable family of nonexpansive mappings ⋮ Strong convergence of iterative sequences for nonexpansive mappings ⋮ Equivalent theorems of the convergence between proximal type algorithms ⋮ Convergence theorems for semigroup-type families of non-self mappings ⋮ Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings

Cites Work

• Unnamed Item
• Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings
• Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces
• Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces.
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces
• Some theorems on weakly contractive maps.
• Fixed points of nonexpansive mappings
• Asymptotic behavior of contractions in Banach spaces
• Iterative approaches to convex feasibility problems in Banach spaces
• Viscosity approximation methods for nonexpansive nonself-mappings
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Fixed points of nonexpanding maps

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