Fixed point properties for nonexpansive representations of topological semigroups

DOI10.1016/j.jmaa.2006.03.093zbMath1113.47048OpenAlexW2039359620MaRDI QIDQ860566

A. H. Riazi, Esmaeil Nazari

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.03.093

zbMATH Keywords

fixed pointnonexpansive mappingHilbert spacesemitopological semigroupinvariant means

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Fixed point theorems for families of nonexpansive mappings on unbounded sets
• Semigroup of nonexpansive mappings on a Hilbert space
• Compact right topological semigroups and generalizations of almost periodicity
• Invariant means and fixed point properties for nonexpansive representations of topological semigroups
• On the existence of fixed points and ergodic retractions for Lipschitzian semigroups in Hilbert spaces
• A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
• Moons, bridges, birds … and nonexpansive mappings in Hilbert space
• Asymptotically invariant net and fixed point set for semigroup of nonexpansive mappings

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