A selection theorem of Helly type and its applications
Volume 116 / 1995
Studia Mathematica 116 (1995), 43-48
DOI: 10.4064/sm-116-1-43-48
Abstract
We prove an abstract selection theorem for set-valued mappings with compact convex values in a normed space. Some special cases of this result as well as its applications to separation theory and Hyers-Ulam stability of affine functions are also given.
