Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590679 | Journal of Functional Analysis | 2012 | 29 Pages |
Abstract
In this paper we study fixed point properties for semitopological semigroup of nonexpansive mappings on a bounded closed convex subset of a Banach space. We also study a Schauder fixed point property for a semitopological semigroup of continuous mappings on a compact convex subset of a separated locally convex space. Such semigroups properly include the class of extremely left amenable semitopological semigroups, the free commutative semigroup on one generator and the bicyclic semigroup S1=〈a,b:ab=1〉.
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