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Results tagged with fixed-point-theorems
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user 123897
A fixed-point theorem is a result saying that a function $F$ will have at least one fixed point (a point $x$ for which $F(x) = x$), under some conditions on $F$ that can be stated in general terms.
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votes
Is it possible to continuously select a probability distribution over fixed points in Brouwe...
There can be no such function even in the category of smooth functions.
Here an example for functions $f:[0,1]\to [0,1]$ with $f(0)=\epsilon$ and $f(1)=1-\epsilon$:
(1) Let $\operatorname{id}:x\ma …
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