Weak Convergence Theorems for Nonexpansive Mappings and Semigroups in Banach Spaces with Opial's Property

DOI10.2307/2045607zbMath0585.47043OpenAlexW4254173656MaRDI QIDQ3711093

Tadeusz Kuczumow

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2307/2045607

zbMATH Keywords

common fixed pointsemigroup of nonexpansive mappingsweak-* topologyOpial's condition for the weak topology

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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On uniform opial condition and uniform Kadec-Klee property in Banach and metric spaces ⋮ Weak convergence of almost orbits of asymptotically nonexpansive commutative semigroups ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups ⋮ Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.

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