Source: wikibot/fixed-point-theorems
= Fixed-point theorems
{wiki=Fixed-point_theorems}
Fixed-point theorems are fundamental results in mathematics that establish conditions under which a function will have a point that maps to itself. In simpler terms, if you have a function \\( f \\) defined on a certain space, a fixed point \\( x \\) satisfies the equation \\( f(x) = x \\). Fixed-point theorems are widely applicable in various areas such as analysis, topology, and applied mathematics.