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
Published in:International Journal of Mathematics and Mathematical Sciences
Main Author: Peter Saveliev
Format: Article
Language:English
Published: Wiley 2000-01-01
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200004403