Amenable semigroups of nonexpansive mappings on weakly compact convex sets

zbMath1478.47058arXiv1612.06270MaRDI QIDQ3181229

Andrej Wiśnicki

Publication date: 23 December 2016

Full work available at URL: https://arxiv.org/abs/1612.06270

zbMATH Keywords

nonexpansive mappinginvariant meanalmost periodic functionfixed point propertytopological semigroupRadon measureweakly compact setamenable semigroupsemigroup action

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Means on groups, semigroups, etc.; amenable groups (43A07) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (5)

Common fixed point theorems for semigroup actions of Kannan's type on strictly convex Banach spaces ⋮ Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets ⋮ Asymptotically non-expansive actions of strongly amenable semigroups and fixed points ⋮ Existence of fixed points and retractions for asymptotically nonexpansive semigroups in locally convex spaces ⋮ Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

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