Asymptotical smoothness and its applications

DOI10.1017/S0004972700040260zbMath1031.47037MaRDI QIDQ4806497

Wiesława Kaczor, Stanisław Prus

Publication date: 3 March 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

ordinalfixed pointBanach spacenetnonexpansive semigroupalmost orbit\(M\)-basisKadec propertyasymptotical smoothnessstrong/weak limit

Mathematics Subject Classification ID

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

Related Items (4)

Convergence of ergodic means of orbits of semigroups of nonexpansive mappings in sets with the \(\varGamma\)-Opial property ⋮ On the structure of fixed-point sets of asymptotically regular semigroups ⋮ Approximating fixed points of non-self nonexpansive mappings in Banach spaces ⋮ Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.

Cites Work

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• Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space

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