On a special family of compact convex sets in the Euclidean plane .
Kramer, Horst (2006)
Mathematica Pannonica
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Kramer, Horst (2006)
Mathematica Pannonica
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Marek Lassak (1984)
Fundamenta Mathematicae
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Moussafir, J.-O. (2000)
Zapiski Nauchnykh Seminarov POMI
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M. Van de Vel (1983)
Compositio Mathematica
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Robert Jamison (1981)
Fundamenta Mathematicae
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Marek Lassak (1984)
Fundamenta Mathematicae
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Ryszard Urbanski (1997)
Collectanea Mathematica
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In this paper the notion of convex pairs of convex bounded subsets of a Hausdorff topological vector space is introduced. Criteria of convexity pair are proved.
Hüsseinov, F. (1999)
Journal of Convex Analysis
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Stanisław Kryński (1993)
Studia Mathematica
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Properties of metrically convex functions in normed spaces (of any dimension) are considered. The main result, Theorem 4.2, gives necessary and sufficient conditions for a function to be metrically convex, expressed in terms of the classical convexity theory.
Duca, D.I., Lupşa, L. (2003)
Mathematica Pannonica
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