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 convex subsets. Following an example of J. Grzybowski, we construct a class of equivalent minimal pairs of compact convex sets which are not connected by translations.
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Pallaschke, D., Urbański, R. Reduction of quasidifferentials and minimal representations. Mathematical Programming 66, 161–180 (1994). https://doi.org/10.1007/BF01581143
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DOI: https://doi.org/10.1007/BF01581143