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Open Access

Fixed points of condensing multivalued maps in topological vector spaces

Fixed Point Theory and Applications20042004:385170

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.

Authors’ Affiliations

Department of Mathematics, Sungkyunkwan University, Suwon, Korea


© Kim 2004