Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces

DOI10.1155/2010/418030zbMath1206.47058OpenAlexW2089995426WikidataQ59219961 ScholiaQ59219961MaRDI QIDQ963591

Tomonari Suzuki, Genaro López-Acedo

Publication date: 13 April 2010

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

Full work available at URL: https://eudml.org/doc/231951

zbMATH Keywords

strong convergenceHilbert spacecommon fixed pointOpial propertyclosed convex setimplicit sequenceone-parameter strongly continuous semigroup of nonexpansive 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 (3)

Common fixed points approximation for asymptotically nonexpansive semigroup in Banach spaces ⋮ Convergence theorem for a family of generalized asymptotically nonexpansive semigroup in Banach spaces ⋮ Nonexpansive semigroups in \(\mathrm{CAT}(\kappa)\) spaces

Cites Work

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• A Fixed Point Theorem for Mappings which do not Increase Distances
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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