Fixed points and selections of set-valued maps on spaces with convexity
We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non-locally convex topological vector spa...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004403 |
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| Summary: | We provide theorems extending both Kakutani and Browder fixed
points theorems for multivalued maps on topological vector spaces,
as well as some selection theorems. For this purpose we introduce
convex structures more general than those of locally convex and
non-locally convex topological vector spaces or generalized
convexity structures due to Michael, van de Vel, and Horvath. |
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| ISSN: | 0161-1712 1687-0425 |