## 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
(2001)
.
- 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: | 13 Jun 2024 11:50 |

URI: | https://eref.uni-bayreuth.de/id/eprint/63315 |