Questions tagged [fixed-points]

In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function. That is to say, c is a fixed point of the function f(x) if and only if f(c) = c. A set of fixed points is sometimes called a fixed set.

I think it can be merged to https://math.stackexchange.com/tags/fixed-point-theorems/info

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How to find all fixed points of $x^3-x^2-4x+5$?

How to find all fixed points of $x^3-x^2-4x+5$ if has exactly 3 and $x=1$ is one of them? I found this problem, and normally one has a reduced domain and range say $[a,b]$ to $[a,b]$ then if it's Lipschitz ($\lambda <1$) for example there is only…
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