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