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Fixed points of condensing multivalued maps in topological vector spaces

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.

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Correspondence to In-Sook Kim.

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Kim, IS. Fixed points of condensing multivalued maps in topological vector spaces. Fixed Point Theory Appl 2004, 385170 (2004). https://doi.org/10.1155/S1687182004310041

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  • DOI: https://doi.org/10.1155/S1687182004310041