Open Access

Fixed points of condensing multivalued maps in topological vector spaces

Fixed Point Theory and Applications20042004:385170

DOI: 10.1155/S1687182004310041

Received: 27 October 2003

Published: 7 June 2004

Abstract

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

(1)
Department of Mathematics, Sungkyunkwan University

Copyright

© Kim 2004