Displaying similar documents to “On norms and subsets of 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.