REDUCTION OF QUASI-DIFFERENTIALS AND MINIMAL REPRESENTATIONS

Authors
PALLASCHKE D URBANSKI R
Citation
D. Pallaschke et R. Urbanski, REDUCTION OF QUASI-DIFFERENTIALS AND MINIMAL REPRESENTATIONS, Mathematical programming, 66(2), 1994, pp. 161-180
Citations number
15
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Mathematical programming → ACNP
ISSN journal
00255610
Volume
66
Issue
2
Year of publication
1994
Pages
161 - 180
Database
ISI
SICI code
0025-5610(1994)66:2<161:ROQAMR>2.0.ZU;2-4
Abstract
Some criterias for the non-minimality of pairs of compact convex sets of a real locally convex topological vector space are proved, based on a reduction technique via cutting planes and excision of compact conv ex subsets. Following an example of J. Grzybowski, we construct a clas s of equivalent minimal pairs of compact convex sets which are not con nected by translations.