Proving the existence of a fixed point
72889
Existence of fixed point given a mapping
93121
How to prove there exists a linear transformation?
2717
Help proving existence of an specific $x_0$ for which $f''(x_0)=0$
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
23875
Why is convexity a requirement for Brouwer fixed points? Shouldn't "no holes" be good enough?
35133
Every increasing function from a certain set to itself has at least one fixed point
39800
Existence of solution for a linear system mod 2
31091
Prove that there exist a branch
126842
Fixed point in a continuous function
133179
Fixed points under action of conjugate group elements
83784
Fixed Point of $x_{n+1}=i^{x_n}$
99726
Proving that a function is not a contraction
46999
How many fixed points in a permutation
17159
Proof of Closest Point Theorem in Hilbert Space
126632
Proving Inequalities with Absolute values
90199
Prove that there exists a constant $c>0$ such that the following happens
39321
If $f:\mathbb R \to \mathbb R$ satisfies $f'(x) <L$ for some $L<1$, then $f$ has a unique fixed point