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

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has a fixed point.
 
Other results are the [[Markov–Kakutani fixed-point theorem]] (1936-1938), the [[Ryll-Nardzewski fixed -point theorem]] (1967) for continuous affine self-mappings of compact convex sets and the [[Earle–Hamilton fixed-point theorem]] (1968) for holomorphic self-mappings of bounded open sets.
 
[[Kakutani fixed point theorem|Kakutani's fixed-point theorem]] states that: