Source: wikibot/fixed-points-mathematics
= Fixed points (mathematics)
{wiki=Category:Fixed_points_(mathematics)}
In mathematics, a fixed point of a function is a point that is mapped to itself by that function. More formally, if \\( f \\) is a function and \\( x \\) is an element of its domain, then \\( x \\) is a fixed point of \\( f \\) if: \\\[ f(x) = x \\\] Fixed points are important in various areas of mathematics, including analysis, topology, and differential equations.