Hybrid viscosity-like approximation methods for nonexpansive mappings in Hilbert spaces

DOI10.1016/j.camwa.2009.02.035zbMath1192.47054OpenAlexW2019869128MaRDI QIDQ980056

Jen-Chih Yao, Lu-Chuan Ceng, Sy-Ming Guu

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.02.035

zbMATH Keywords

strong convergencefixed pointvariational inequalitynonexpansive mappinghybrid viscosity-like approximation methodconstrained generalized pseudoinverse

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Variational and other types of inclusions (47J22)

Related Items (6)

New iterative scheme with nonexpansive mappings for equilibrium problems and variational inequality problems in Hilbert spaces ⋮ New methods with perturbations for non-expansive mappings in Hilbert spaces ⋮ Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems ⋮ An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces ⋮ The general hybrid approximation methods for nonexpansive mappings in Banach spaces ⋮ New iterative manner involving sunny nonexpansive retractions for pseudocontractive mappings

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