Geodesic
Reduced and Minimally Convex Pairs of Sets
Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1319-1334
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In this paper algebraic properties of convex sets are studied. In the first section we present one of our main results which is an algebraic order cancellation law of convex sets. Then we study properties of convex pairs and reduced pairs mainly within the general frame of commutative semigroups which satisfy the order cancellation law.
Classification : 52A07, 52A20, 26A27, 26B25
Mots-clés : Quasidifferential, pairs of bounded closed convex sets, order cancellation law, minimal pairs, reduced pairs 
@article{JCA_2018_25_4_JCA_2018_25_4_a12,
     author = {J. Grzybowski and D. Pallaschke and H. Przybycien and R. Urbanski},
     title = {Reduced and {Minimally} {Convex} {Pairs} of {Sets}},
     journal = {Journal of convex analysis},
     pages = {1319--1334},
     year = {2018},
     volume = {25},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a12/}
}
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J. Grzybowski; D. Pallaschke; H. Przybycien; R. Urbanski. Reduced and Minimally Convex Pairs of Sets. Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1319-1334. http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a12/