Source: wikibot/schauder-fixed-point-theorem
= Schauder fixed-point theorem
{wiki=Schauder_fixed-point_theorem}
The Schauder fixed-point theorem is a fundamental result in fixed-point theory, particularly in the context of functional analysis and topology. It provides conditions under which a continuous function mapping a convex compact subset of a Banach space (or more generally, in a topological vector space) has at least one fixed point.