Extreme points of a convex polytope and extreme rays of the corresponding convex cone
W. Grabowski (1974)
Applicationes Mathematicae
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W. Grabowski (1974)
Applicationes Mathematicae
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Mohamed Akkouchi, Hassan Sadiky (1993)
Extracta Mathematicae
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R. M. Aron and R. H. Lohman introduced, in [1], the notion of lambda-property in a normed space and calculated the lambda-function for some classical normed spaces. In this paper we give some more general remarks on this lambda-property and compute the lambda-function of other normed spaces, namely: B(S,∑,X) and M(E).
Godini, G.
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Eriksson-Bique, Sirkka-Liisa (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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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.
Qiu, Jing Hui, McKennon, Kelly (1994)
International Journal of Mathematics and Mathematical Sciences
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Bair, J., Dupin, J.C. (1999)
Journal of Convex Analysis
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Yunbai Dong, Qingjin Cheng (2013)
Studia Mathematica
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Let 𝓐 be a compatible collection of bounded subsets in a normed linear space. We give a characterization of the following generalized Mazur intersection property: every closed convex set A ∈ 𝓐 is an intersection of balls.
Chai, Yan-Fei, Cho, Yeol Je, Li, Jun (2008)
Journal of Inequalities and Applications [electronic only]
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