Entire function so that $f\circ f$ don't have fixed points
70542
Entire function problem: translation
63701
An example of a regular function over an open set
135129
Proving an entire  function which misses a ball is constant
29647
Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
69845
Construct a real function with is exactly $C^2$ such that its first derivative does not vanish everywhere
146152
Characterising functions $f$ that can be written as $f = g \circ g$?
83784
Fixed Point of $x_{n+1}=i^{x_n}$
18511
Can we construct a function that has uncountable many jump discontinuities?
26126
$f \in L^1$, but $f \not\in L^p$ for all $p > 1$
72889
Existence of fixed point given a mapping
148266
Let $f:X\to X $ be continuous. Does $f $ have a fixed point when $X=[0,1)$ or $X=(0,1) $?
12239
Holomorphic function with a fixed point
102075
A function continuous on all irrational points
139614
Polynomial bounded real part of an entire function
36402
Prove that $f(x) = \cos(x)$ has a unique fixed point.
17234
Show that a continuous function has a fixed point
47992
Is there a function $f\colon\mathbb{R}\to\mathbb{R}$ such that every non-empty open interval is mapped onto $\mathbb{R}$?