Continuous function from the unit interval into the unit interval has a fixed point
17234
Show that a continuous function has a fixed point
153495
Continuous function does not map closed set to closed set
61446
Fixed point of interior of closed disk
105960
Counterexamples to Brouwer's fixed point theorem for the closed unit ball in Banach space
103241
A function that is continuous at the origin but not differentiable there
91682
Graph of a continuous function is closed
40576
Intermediate value property problem and continuous function
138809
Consequences of a fixed point of a bounded, complex analytic function
12239
Holomorphic function with a fixed point
36402
Prove that $f(x) = \cos(x)$ has a unique fixed point.
55749
Compactly supported continuous function is uniformly continuous
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
154572
Continuity of a function at an isolated point
118048
Can a function with just one point in its domain be continuous?
64260
Prove that a function between metric spaces is continuous iff the inverse image of a closed set is closed
58664
Proving a function is continuous for a fixed variable
18222
Set of continuity points of a real function