Abstract

A set M in Rd\mathbb{R}^d is rt-convex if every pair of its points is included in a 3-point subset {x,y,z} of M satisfying ∠xyz=π/2\angle xyz = \pi/2. We find here for various families of sets the minimal number of points necessary to add to the sets in order to render them rt-convex

Author information

Contact details are reproduced from the original publication and may be historical.

Liping Yuan

College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, P. R. China.
and: Hebei Key Laboratory of Computational Mathematics and Applications, 050024 Shijiazhuang, P. R. China

lpyuan@mail.hebtu.edu.cn

Tudor Zamfirescu

Fachbereich Mathematik, Universität Dortmund, 44221 Dortmund, Germany
and: Institute of Mathematics, Roumanian Academy of Sciences, P.O.B. 1-764, Bucharest 014700, Roumania
and: College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, P.R. China

tudor.zamfirescu@mathematik.uni-dortmund.de

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Suggested citation

L. Yuan, T. Zamfirescu. “Right Triple Convex Completion.” Journal of Convex Analysis 22 (2015), No. 1, 291–301. https://doi.org/10.68381/jca22014

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Published by Heldermann Verlag, 2015. Rights now held by Banach Press LLC.