Fixed-point space

In mathematics, a Hausdorff space X is called a fixed-point space if it obeys a fixed-point theorem, according to which every continuous function ${\displaystyle f:X\rightarrow X}$ has a fixed point, a point ${\displaystyle x}$ for which ${\displaystyle f(x)=x}$.^[1]

For example, the

The definition of a fixed-point space can also be extended from continuous functions of topological spaces to other classes of maps on other types of space.[1]

References

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