Fixed-point theorems in infinite-dimensional spaces: Difference between revisions

Revision as of 16:23, 6 February 2005

Revision as of 13:32, 5 June 2005

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Other results are the Kakutani and Markov fixed point theorems, now subsumed in the [[Ryll-Nardzewski fixed point theorem]] (1967).

Kakutani's fixed point theorem states that :

''Italic text''Every correspondence that maps a compact convex subset of a locally convex space into itself with a closed graph and convex nonempty images has a fixed point.''/Italic text''

It can be seen as an application of Brouwer's fixed poitn theorem.

==References==