Fixed points of condensing multivalued maps in topological vector spaces
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2004-06-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/S1687182004310041 |