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Brouwer Fixed-Point Theorem
Brouwer Fixed-Point Theorem
📜
The statement of the theorem
For any continuous function
f
f
f
mapping a compact convex set to itself in a Euclidean space, there is a point
x
0
x_0
x
0
such that
f
(
x
0
)
=
x
0
f(x_0) = x_0
f
(
x
0
)
=
x
0
.
Source: Wikipedia