# Fixed point

### From Glossary

The fixed point of a function, , is an element such that . Of a point-to-set map, , we instead have that . The study of fixed points has been
at the foundation of algorithms. Moreover, forcing substructure.

The fixed point of a function, , is an element such that . Of a point-to-set map, , we instead have that . The study of fixed points has been
at the foundation of algorithms. Moreover, forcing substructure.