Source: wikibot/ryll-nardzewski-fixed-point-theorem
= Ryll-Nardzewski fixed-point theorem
{wiki=Ryll-Nardzewski_fixed-point_theorem}
The Ryll-Nardzewski fixed-point theorem is a result in the field of functional analysis, specifically concerning fixed points in nonatomic convex sets in topological vector spaces. It generalizes certain fixed-point results, including the well-known Brouwer fixed-point theorem, to more general settings.