Ryll-Nardzewski fixed-point theorem: Difference between revisions

Revision as of 09:57, 1 June 2006

Revision as of 05:42, 10 June 2006

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The '''Ryll-Nardzewski fixed point theorem''' states that if <math>E</math> is a [[normed vector space]] and <math>K</math> is nonempty convex subset of <math>E</math>, which is closed for the [[weak topology]], then every group of affine isometries of <math>K</math> has a [[fixed point]].

==Applications==

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==References==

* [[Nicolas Bourbaki]], ''Éléments de mathématique - Espaces vectoriels topologiques'', Hermann (1964).

==See also==

* [[Fixed point theorem]]s

* [[Fixed point theorems in infinite-dimensional spaces]]

[[Category:Fixed points]]