Fixed points on functions mapping $[a,b]$ onto itself
17234
Show that a continuous function has a fixed point
20722
Fixed points in random permutation
112362
fixed point problem for orthogonal transformation
117418
Showing that the image of a function is $\mathbb{C}$ if it satisfies a nice functional equation
54729
Prove that $f$ has a fixed point .
30455
Show that any continuous $f:[0,1] \rightarrow [0,1]$ has a fixed point $\zeta$
27948
show that a function $A$ such that $ \rho (Ax,Ay)< \rho (x,y) $ $ \forall x\neq y $ not necessary has a fix point $ (Ax\neq x \space \forall x )$
129623
A shrinking map that is not a contraction no fixed point.
64866
Proving a Composition of Functions is Bijective
142645
$f_n$ converges uniformly on $[a,b]$ to some function $f$
96729
Changing the values of an integrable function $f:[a,b] \to \mathbb R$ countably infinitely many points not a dense subset of $[a,b]$
143043
When is a local homeomorphism a covering map?
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
23239
Prove that the following map has at least $k-2$ fixed points
139779
Homotopic maps have homotopy equivalent mapping cones
135315
Proving whether a function on the set of real sequences is a metric
149999
fixed point of a continuous map on a projective space