This is a preview of subscription content, log in via an institution to check access.
References
V. F. Demyanov andA. M. Rubinov, Quasidifferential Calculus, Optimization Software Inc. Berlin-Heidelberg-New York 1986.
L. Hörmander, Sur la fonction d'appui des ensembles convexes dans une espace localement convexe. Ark. Mat.3, 181–186 (1958).
H. Hudzik, J. Musielak andR. Urbański, Lattice propertíes of the space of convex closed and bounded subsets of a topological vector space. Bull. Acad. Polon. Sci. Sér. Sci. Math.27, 157–162 (1979).
D. Pallaschke, P. Recht andR. Urbański, On locally Lipschitz quasi-differentiable functions in Banach-space. Optimization17, 287–295 (1986).
D. Pallaschke, S. Scholtes andR. Urbański, On minimal pairs of convex compact sets. Bull. Acad. Polon. Sci. Sér. Sci. Math.39, 105–109 (1991).
D.Pallaschke and R.Urbański, Some criteria for the minimality of pairs of convex compact sets. To appear.
A. G. Pinsker, The space of convex sets of locally convex space. Leningrad. Inž.-Ekonom. Inst. Trudy Vyp.63, 13–17 (1966).
H. Rådström, An embedding theorem for spaces of convex sets. Proc. Amer. Math. Soc.3, 165–169 (1952).
A. M.Rubinov and I. S.Akhundov, Differences of compact sets in the sense of Demyanov and its application to non-smooth analysis. To appear in Optimization.
S. Scholtes, Minimal pairs of convex bodies in two dimensions. Mathematika39, 267–273 (1992).
R. Urbański, A generalization of the Minkowski-Rådström-Hörmander Theorem. Bull. Acad. Polon. Sci. Sér. Sci. Math.288, 709–715 (1976).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grzybowski, J. Minimal pairs of convex compact sets. Arch. Math 63, 173–181 (1994). https://doi.org/10.1007/BF01189892
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01189892