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ArticleOriginal scientific text

Title

Metrically convex functions in normed spaces

Authors 1

Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warszawa, Poland

Abstract

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.

Bibliography

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Studia Mathematica
1993/105/1
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Pages:
1-11
Main language of publication
English
Received
1989-09-29
Accepted
1992-09-30
Published
1993
Exact and natural sciences