Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities

DOI10.1186/1687-1812-2011-55zbMath1315.47051OpenAlexW2134757943WikidataQ59268543 ScholiaQ59268543MaRDI QIDQ362606

Ali Haji-Badali, Hossein Piri

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-55

zbMATH Keywords

strong convergencevariational inequalityprojectioniterative processcommon fixed pointamenable semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Solutions of system of equilibrium and variational inequality problems on fixed points of infinite family of nonexpansive mappings ⋮ Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces ⋮ Approximating fixed points of amenable semigroup and infinite family of nonexpansive mappings and solving systems of variational inequalities and systems of equilibrium problems ⋮ A general iterative algorithm for an infinite family of nonexpansive operators in Hilbert spaces

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