Terminal subsets of convex sets in finite-dimensional real normed spaces

Marek Lassak

Displaying similar documents to “Terminal subsets of convex sets in finite-dimensional real normed spaces”

Extreme points of a convex polytope and extreme rays of the corresponding convex cone

W. Grabowski (1974)

Applicationes Mathematicae

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On the lambda-property and computation of the lambda-function of some normed spaces.

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).

Operators in normed almost linear spaces

Godini, G.

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Elements generating balayages.

Eriksson-Bique, Sirkka-Liisa (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Metrically convex functions in normed spaces

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.

Strictly extreme and strictly exposed points.

Qiu, Jing Hui, McKennon, Kelly (1994)

International Journal of Mathematics and Mathematical Sciences

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The barrier cone of a convex set and the closure of the cover.

Bair, J., Dupin, J.C. (1999)

Journal of Convex Analysis

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Characterization of normed linear spaces with generalized Mazur intersection property

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.

Some characterizations of ideal points in vector optimization problems.

Chai, Yan-Fei, Cho, Yeol Je, Li, Jun (2008)

Journal of Inequalities and Applications [electronic only]

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