Abstract
A set M in
Rd is rt-convex if every pair of its points is included in a 3-point subset {x,y,z} of M such that the triangle with the corners x, y and z has a right angle at y. We characterize rt-convex sets, and for 2-connected polygonally connected sets, for 3-connected sets, for geometric graphs, and for finite sets
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.cnTudor 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, China
tudor.zamfirescu@mathematik.uni-dortmund.deSuggested citation
L. Yuan, T. Zamfirescu. “Right Triple Convexity.” Journal of Convex Analysis 23 (2016), No. 4, 1219–1246. https://doi.org/10.68381/jca23046
Published by Heldermann Verlag, 2016. Rights now held by Banach Press.
Liping Yuan
