Fixed points and selections of set-valued maps on spaces with convexity

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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Bibliographic Details
Main Author: Peter Saveliev
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Fixed point
continuous selection
generalized convexity.
Online Access:http://dx.doi.org/10.1155/S0161171200004403
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spelling doaj-c9dbc0e8b6ca413dbe35b4d57f43fc3c2020-11-24T21:01:33ZengHindawi LimitedInternational 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.
collection DOAJ
language English
format Article
sources DOAJ
author Peter Saveliev
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.
author_facet Peter Saveliev
author_sort Peter Saveliev
title 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_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_sort fixed points and selections of set-valued maps on spaces with convexity
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2000-01-01
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.
topic Fixed point
continuous selection
generalized convexity.
url http://dx.doi.org/10.1155/S0161171200004403
work_keys_str_mv AT petersaveliev fixedpointsandselectionsofsetvaluedmapsonspaceswithconvexity
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