An iteration method for nonexpansive mappings in Hilbert spaces

DOI10.1155/2007/28619zbMath1159.47052OpenAlexW2042677682WikidataQ59212336 ScholiaQ59212336MaRDI QIDQ2472272

Lin Wang

Publication date: 21 February 2008

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55290

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items (15)

Unnamed Item ⋮ A new hybrid iteration method for a finite family of asymptotically nonexpansive mappings in Banach spaces ⋮ Weak and strong convergence of a new scheme for two non-expansive mappings in Hilbert spaces ⋮ Strong convergence theorems for maximal monotone mappings in Banach spaces ⋮ Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings ⋮ Approximation of fixed points of nonexpansive mappings and solutions of variational inequalities ⋮ Convergence theorems for the variational inequality problems and split feasibility problems in Hilbert spaces ⋮ A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common fixed points of a finite family of quasi-phi-nonexpansive maps, with applications ⋮ Iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings ⋮ Hybrid iteration method for fixed points of nonexpansive mappings in arbitrary Banach spaces ⋮ Finding minimum norm fixed point of nonexpansive mappings and applications ⋮ Convergence of hybrid steepest descent method for variational inequalities in Banach spaces ⋮ Hybrid Noor iteration method for nonexpansive mappings in Hilbert spaces ⋮ Iterative regularization methods for the multiple-sets split feasibility problem in Hilbert spaces ⋮ Hybrid iteration method for common fixed points of a finite family of nonexpansive mappings in Banach spaces

Cites Work

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• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Strong convergence theorems by the hybrid method for families of nonexpansive mappings in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Approximating fixed points by ishikawa iterates
• Approximating Fixed Points of Nonexpansive Mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• An Introduction to Variational Inequalities and Their Applications

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