Order cancellation law in the family of bounded convex sets

J. Grzybowski () and R. Urbański
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J. Grzybowski: Adam Mickiewicz University
R. Urbański: Adam Mickiewicz University

Journal of Global Optimization, 2020, vol. 77, issue 2, No 4, 289-300

Abstract: Abstract In this paper we prove necessary and sufficient criteria for a cancellation of a bounded convex set in the inclusion of Minkowski sums of sets. We also prove an order cancellation law in semigroups of not closed, bounded and convex sets.

Keywords: Minkowski sum of sets; Semigroup of convex sets; Order cancellation law; Minkowski–Rådström–Hörmander space; 49J52; 52A05; 54B20 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10898-019-00865-z

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