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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| 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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| _version_ | 1850174226575654912 |
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| author | Peter Saveliev |
| author_facet | Peter Saveliev |
| author_sort | Peter Saveliev |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c9dbc0e8b6ca413dbe35b4d57f43fc3c |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c9dbc0e8b6ca413dbe35b4d57f43fc3c2025-08-20T02:19:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124959561210.1155/S0161171200004403Fixed points and selections of set-valued maps on spaces with convexityPeter Saveliev0Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana 61801, IL, USAWe 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.http://dx.doi.org/10.1155/S0161171200004403Fixed pointcontinuous selectiongeneralized convexity. |
| spellingShingle | Peter Saveliev Fixed points and selections of set-valued maps on spaces with convexity International Journal of Mathematics and Mathematical Sciences Fixed point continuous selection generalized convexity. |
| title | Fixed points and selections of set-valued maps on spaces with convexity |
| title_full | Fixed points and selections of set-valued maps on spaces with convexity |
| title_fullStr | Fixed points and selections of set-valued maps on spaces with convexity |
| title_full_unstemmed | Fixed points and selections of set-valued maps on spaces with convexity |
| title_short | Fixed points and selections of set-valued maps on spaces with convexity |
| title_sort | fixed points and selections of set valued maps on spaces with convexity |
| topic | Fixed point continuous selection generalized convexity. |
| url | http://dx.doi.org/10.1155/S0161171200004403 |
| work_keys_str_mv | AT petersaveliev fixedpointsandselectionsofsetvaluedmapsonspaceswithconvexity |