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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
[[Kakutani fixed point theorem|Kakutani's fixed-point theorem]] states that:
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