descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1973 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 41, pages 223-223 (issn: 0002-9939,

Authors: Anthony T. Lau; Chi Song Wong;

doi: 10.1090/s0002-9939-1973-0322837-3 , 10.2307/2038845

Common fixed points for semigroups of mappings

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Abstract

Let X be a compact convex subset of a strictly convex Banach space. Let S be a Hausdorff topological semigroup which is either left amenable or left reversible. Then for any generalised nonexpansive (jointly) continuous action of S on X, X contains a common fixed point of S.

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University of Alberta
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University of Windsor
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Keywords

Semigroups of transformations, relations, partitions, etc., Fixed-point and coincidence theorems (topological aspects), Structure of topological semigroups, Transformation groups and semigroups (topological aspects)

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