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Baier, Robert ; Farkhi, Elza M.:
Differences of Convex Compact Sets in the Space of Directed Sets. Part II: Visualization of Directed Sets.
In: Set-Valued Analysis.
Bd. 9
(2001)
.
- S. 247-272.
ISSN 0927-6947
DOI: https://doi.org/10.1023/A:1012009529492
| Rez.: |
Abstract
This paper is a continuation of the author's first paper (Set-Valued Anal. 9 (2001), pp. 217-245), where the normed and partially ordered vector space of directed sets is constructed and the cone of all nonempty convex compact sets in |R^n is embedded. A visualization of directed sets and of differences of convex compact sets is presented and its geometrical components and properties are studied. The three components of the visualization are compared with other known differences of convex compact sets.
Weitere Angaben
| Publikationsform: | Artikel in einer Zeitschrift |
|---|---|
| Begutachteter Beitrag: | Ja |
| Zusätzliche Informationen: | Contents:
1. Introduction 2. Visualization of Directed Intervals 3. Visualization of Directed Sets 4. Characterization of Special Types of Directed Sets 5. Conclusions |
| Keywords: | Directed sets; Directed intervals; Differences of convex sets and their visualization; Convex analysis; Interval analysis |
| Fachklassifikationen: | Mathematics Subject Classification Code: 52A20 (26E25 54C60 65G30 49J53) |
| Institutionen der Universität: | Fakultäten > Fakultät für Mathematik, Physik und Informatik Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik) Fakultäten |
| Titel an der UBT entstanden: | Ja |
| Themengebiete aus DDC: | 500 Naturwissenschaften und Mathematik 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Eingestellt am: | 23 Feb 2021 08:15 |
| Letzte Änderung: | 13 Jun 2024 11:50 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/63315 |