Fixed points of condensing multivalued maps in topological vector spaces
© Kim 2004
Received: 27 October 2003
Published: 7 June 2004
With the aid of the simplicial approximation property, we show that every admissible multivalued map from a compact convex subset of a complete metric linear space into itself has a fixed point. From this fact we deduce the fixed point property of a closed convex set with respect to pseudocondensing admissible maps.