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On Convex Class of Pairs of Convex Bodies
Author(s):
Jerzy
Grzybowski;
Ryszard
Urbanski
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3397-3401.
MSC (1991):
Primary 52A07, 90C30, 26A27
MathSciNet review:
1403131
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Abstract:
In this paper we introduce a quotient class of pairs of convex bodies in which every member have convex union.
References:
- 1.
- V. F. Demyanov, A. M. Rubinov, Quasidifferential Calculus, Optimization Software Inc., Publication Division, New York 1986.
- 2.
- J. Grzybowski, Minimal pairs of convex compact sets, Arch. Math. Vol. 63 (1994), 173-181. MR 95h:52001
- 3.
- L. Hörmander, Sur la fonction d'appui des ensembles convex dans une espace localement convexe, Arkiv for Math. 3 (1954), 181-186. MR 16:831e
- 4.
- von K. Leichtweiß, Konvexe Mengen, VEB Deutscher Verlag der Wissenschaften, Berlin 1980. MR 81b:52001
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Additional Information:
Jerzy
Grzybowski
Affiliation:
Faculty of Mathematics, and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznan, Poland
Email:
jgrz@math.amu.edu.pl
Ryszard
Urbanski
Affiliation:
Faculty of Mathematics, and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznan, Poland
Email:
rich@math.amu.edu.pl
DOI:
10.1090/S0002-9939-97-03959-2
PII:
S 0002-9939(97)03959-2
Keywords:
Convex Analysis,
pairs of convex sets,
quasidifferential
Received by editor(s):
June 12, 1996
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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