ArticleOriginal scientific text
Title
Minimal pairs of bounded closed convex sets
Authors 1, 1
Affiliations
- Faculty of Mathematics and Computer Sciences, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland
Abstract
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets in a reflexive locally convex topological vector space is proved. An example of a non-reflexive Banach space with an equivalence class containing no minimal element is presented.
Keywords
convex analysis, pairs of convex sets
Bibliography
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- M. Wiernowolski, On amount of minimal pairs, Funct. Approx. Comment. Math. 23 (1994), 35-39.
Pages:
95-99
Main language of publication
English
Received
1997-02-24
Accepted
1997-04-17
Published
1997
Exact and natural sciences