Viscosity approximations by the shrinking projection method in Hilbert spaces

DOI10.1016/j.camwa.2012.01.043zbMath1247.47062OpenAlexW1977798603MaRDI QIDQ453879

Yasunori Kimura, Kazuhide Nakajo

Publication date: 30 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.043

zbMATH Keywords

strong convergencenonexpansive mappingmetric projectionviscosity approximation methodshrinking projection methodLipschitz quasi-pseudocontractive semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Hybrid methods for solving simultaneously an equilibrium problem and countably many fixed point problems in a Hilbert space ⋮ Viscosity approximations by the shrinking projection method of quasi-nonexpansive mappings for generalized equilibrium problems ⋮ A viscosity approximation method for weakly relatively nonexpansive mappings by the sunny nonexpansive retractions in Banach spaces

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