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Differences of Convex Compact Sets in the Space of Directed Sets. Part II: Visualization of Directed Sets

Title data

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. Vol. 9 (September 2001) Issue 3 . - pp. 247-272.
ISSN 0927-6947
DOI: https://doi.org/10.1023/A:1012009529492

Review:

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: 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
Subject classification: Mathematics Subject Classification Code: 52A20 (26E25 54C60 65G30 49J53)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties
Result of work at the UBT: Yes
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Date Deposited: 23 Feb 2021 08:15
Last Modified: 25 Mar 2021 06:34
URI: https://eref.uni-bayreuth.de/id/eprint/63315