Convex sets in linear spaces

Zenísek, A.

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Displaying similar documents to “Convex sets in linear spaces”

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.

Decompositions of compact convex sets.

Pallaschke, Diethard, Urbański, Ryszard (1997)

Journal of Convex Analysis

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Moreau's decomposition theorem revisited

J. B. Hiriart-Urruty, Ph. Plazanet (1989)

Annales de l'I.H.P. Analyse non linéaire

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Pairs of sets with convex union.

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.