Fixed points and selections of multifunctions on spaces with convexity

Details Fixed points and selections of multifunctions on spaces with convexity Fixed points and selections of multifunctions on spaces with convexity

1999-06-18

arxiv.org/abs/math/9906128v1

Int. J. Math. Math. Sci. 24 (2000) 9, 595-612

Mathematics

Functional Analysis

17 pages

Scientific paper

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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