Convergence of almost-orbits of nonexpansive semigroups in Banach spaces

DOI10.1090/S0002-9939-07-08999-XzbMath1125.47042MaRDI QIDQ5295095

Anthony To-Ming Lau, Koji Nishiura, Takahashi, Wataru

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

mean ergodic theoremnonexpansive semigroupalmost-orbit

Mathematics Subject Classification ID

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

Related Items (2)

A unified approach to the asymptotic almost-equivalence of evolution systems without Lipschitz conditions ⋮ Asymptotic almost-equivalence of Lipschitz evolution systems in Banach spaces

Cites Work

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• Asymptotic behavior of almost-orbits of nonexpansive semigroups without convexity
• Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings
• Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces
• On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces

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