Article ID: | iaor19961466 |
Country: | Netherlands |
Volume: | 66 |
Issue: | 2 |
Start Page Number: | 161 |
End Page Number: | 180 |
Publication Date: | Sep 1994 |
Journal: | Mathematical Programming (Series A) |
Authors: | Pallaschke D., Urbanski R. |
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 convex subsets. Following an example of J. Grzybowski, the authors construct a class of equivalent minimal pairs of compact convex sets which are not connected by translations.