Espedito De Pascale
A finite dimensional reduction of the Schauder Conjecture

Comment.Math.Univ.Carolinae 34,3 (1993) 401-404.

Abstract:Schauder's Conjecture (i.e. every compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.

Keywords: compact convex set, fixed point property, multivalued map, local convexity, topological vector space, Schauder Conjecture.
AMS Subject Classification: 47H10, 46A16, 54C60