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

Peter Saveliev

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-18

Abstract:

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:760607

DOI: 10.1155/S0161171200004403

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