How to show there exist a unique $x_o$ in X such that f($x_o$)=$x_o$?
54222
Prove the map has a fixed point
106830
are $f(f(x))=f(x)$ and $f(x)=x$ equivalent?
139168
Prove that there is an unique $z$ s.t. $f(z) = z$ where $z$ is a complex number
90435
Prove that there exist linear functionals $L_1, L_2$ on $X$
76292
Showing that $f$ is identically $0$ on $\mathbb{D}$
79925
Infinitely many values of $x$ that satisfy the equations
19146
Showing that $f$ has exactly one fixed point
59063
$f(f(x))=f(x)$ question
15002
Unique (non-repeating) random numbers in O(1)?
55492
Existence of $f'\in F$ such that $f^{[G:F]}=(f')^n$ for finite extension $F\subset G$
63313
Uniqueness of Powerseries in an arbitrarily small neighborhood of $0$ in $\mathbb C$
28011
Does there exists an entire function such that for each $|z|>C$ for some constant $C$, $|f(z)|=|z|+1$?
28399
Showing $f$ is constant
35889
Suppose that f(0) = f(1) = 0 and x ∈ (0, 1). Prove that there exists c ∈ (0, 1) such that f'(c) = f(x).
98356
There does not exist an entire function which satisfies $f({1\over n})={1\over 2^n}$?
153069
Proof for Unique Factorization Domain
41693
Use irreducible fibers to show $X$ is irreducible