EntityQ656176· pop 9· linked from 85 articlesSchauder fixed point theoremSign in to savetheorem that a continuous mapping of a convex subset of a topological vector space into a compact subset of itself has a fixed pointConnectionsopen mapping theoremEntityconvex coneEntityreflexive spaceEntityInternational Standard Book NumberEntitydigital object identifierEntityvector spaceEntityHilbert spaceEntityfunctional analysisEntityRiemann hypothesisEntitylinear mapEntitypartial differential equationEntitycalculus of variationsEntityconvex setEntityBanach spaceEntitynormEntitycompact spaceEntitynonlinear systemEntityfixed pointEntitynormed vector spaceEntityinner product spaceEntityCategoriesFixed-point theoremsTheorems in functional analysisTopological vector spaces