Strong convergence of a generalized iterative method for semigroups of nonexpansive mappings in Hilbert spaces

DOI10.1155/2010/907275zbMath1204.47083OpenAlexW2159810350WikidataQ59253651 ScholiaQ59253651MaRDI QIDQ1958058

Husain Piri, Hamid Vaezi

Publication date: 28 September 2010

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

Full work available at URL: https://eudml.org/doc/223394

zbMATH Keywords

strong convergencevariational inequalityHilbert spacecommon fixed point\(\delta \)-strongly accretive mappingsemigroup of non-expansive mappings

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 (10)

General iterative methods for common fixed points of asymptotically nonexpansive mappings ⋮ Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities ⋮ The general iterative methods for nonexpansive semigroups in Banach spaces ⋮ A new convergence theorem for families of asymptotically nonexpansive maps and solution of variational inequality problem ⋮ Common fixed points approximation for asymptotically nonexpansive semigroup in Banach spaces ⋮ Convergence theorem for a family of generalized asymptotically nonexpansive semigroup in Banach spaces ⋮ A general composite algorithm for solving general equilibrium problems and fixed point problems in Hilbert spaces ⋮ Comment on ``A strong convergence of a generalized iterative method for semigroups of nonexpansive mappings in Hilbert spaces ⋮ A new approximation method for common fixed points of families of nonexpansive maps and solution of variational inequalities problems ⋮ Strong convergence theorems of the general iterative methods for nonexpansive semigroups in Banach spaces

Cites Work

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