Fixed points of condensing multivalued maps in topological vector spaces
<p/> <p>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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2004-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2004/385170 |
| Summary: | <p/> <p>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.</p> |
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| ISSN: | 1687-1820 1687-1812 |