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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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Fixed point theorem on graphs?

Originally posted here: https://math.stackexchange.com/questions/276167/fixed-point-theorem-on-graphs -- I have a graph $G=(V,E)$ where to each vertex $v$ I have associated a value, $\hat{v}$ (ie I …
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