## versão impressa ISSN 0001-3765versão On-line ISSN 1678-2690

#### Resumo

BARROSO, CLEON S.; MBOMBO, BRICE R.  e  PESTOV, VLADIMIR G.. On topological groups with an approximate fixed point property. An. Acad. Bras. Ciênc. [online]. 2017, vol.89, n.1, pp.19-30. ISSN 0001-3765.  http://dx.doi.org/10.1590/0001-3765201720150382.

A topological group $G$ has the Approximate Fixed Point (AFP) property on a bounded convex subset $C$ of a locally convex space if every continuous affine action of $G$ on $C$ admits a net $( x i )$, $x i ∈ C$, such that $x i - g ⁢ x i ⟶ 0$ for all $g ∈ G$. In this work, we study the relationship between this property and amenability.

Palavras-chave : Amenable groups; approximate fixed point property; Følner property; Reiter property.

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