Fixed points and selections of multifunctions on spaces with convexity

1999/06/18 by Peter Saveliev
Mathematics · #math.FA #math.GN #msc:47H04 #msc:47H10 #msc:52A01 #msc:54C65 #msc:54H25

paper · pdf

published as Int. J. Math. Math. Sci. 24 (2000) 9, 595-612 · 17 pages

arxiv created 1999/06/18 · arxiv updated 2009/11/30

Abstract

We provide theorems containnig both Kakutani and Browder fixed points theorems as immediate corollaries, as well as Michael and Browder 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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