A SELECTION THEOREM OF HELLY TYPE AND ITS APPLICATIONS

Authors
BEHRENDS E NIKODEM K
Citation
E. Behrends et K. Nikodem, A SELECTION THEOREM OF HELLY TYPE AND ITS APPLICATIONS, Studia Mathematica, 116(1), 1995, pp. 43-48
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
116
Issue
1
Year of publication
1995
Pages
43 - 48
Database
ISI
SICI code
0039-3223(1995)116:1<43:ASTOHT>2.0.ZU;2-R
Abstract
We prove an abstract selection theorem for set-valued mappings with co mpact convex values in a normed space. Some special cases of this resu lt as well as its applications to separation theory and Hyers-Ulam sta bility of affine functions are also given.