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Reduction of quasidifferentials and minimal representations (1994)

Pallaschke, D. ; Urbański, R.

Springer

Mathematical programming 66 (1994), S. 161-180

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ISSN: 1436-4646

Keywords: Pairs of compact convex sets ; Quasidifferential calculus ; 52A05 ; 90C30 ; 26A27

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01581143

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