Abstract
We investigate in this paper the poidge-convexity, which is a generalization of right convexity, introduced by one of the present authors in 2014. Although not every convex body is poidge-convex, there are many families of compact sets, some of them very different from convex bodies, which are poidge-convex. We present here several such families.
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Contact details are reproduced from the original publication and may be historical.
Bo Wang
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, P. R. China
and: Hebei Key Laboratory of Computational Mathematics, Shijiazhuang, P. R. China
bow6666@163.comLiping Yuan
School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, P. R. China
and: Hebei Key Laboratory of Comp. Mathematics and Applications, Shijiazhuang, P. R. China
lpyuan@hebtu.edu.cnTudor Zamfirescu
Fachbereich Mathematik, Universität Dortmund, Germany
and: Romanian Academy, Bucharest, Romania
and: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, P.R.China
tuzamfirescu@gmail.comSuggested citation
B. Wang, L. Yuan, T. Zamfirescu. “Poidge-Convexity.” Journal of Convex Analysis 28 (2021), No. 4, 1155–1170. https://doi.org/10.68381/jca28067
Published by Heldermann Verlag, 2021. Rights now held by Banach Press.
Bo Wang