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Directed Derivatives of Convex Compact-Valued Mappings

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005480
URN to cite this document: urn:nbn:de:bvb:703-epub-5480-2

Title data

Baier, Robert ; Farkhi, Elza:
Directed Derivatives of Convex Compact-Valued Mappings.
Bayreuth , 2001

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Abstract

Convex compact sets can be embedded into the Banach space of directed sets. Directed sets allow a visualization as possibly non-convex, compact sets in |R^n and hence, this space could be used to visualize differences of embedded convex compact sets. The main application is the visualization as well as the theoretical and numerical calculation of set-valued derivatives. Known notions of affine, semi-affine and quasi-affine maps and their derivatives are studied.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Hadjisavvas, Nicolas ; Pardalos, Panos M. (Hrsg.): Advances in Convex Analysis and Global Optimization : honoring the memory of C. Caratheodory (1873 - 1950). - Dordrecht : Kluwer Academic Publishers , 2001 . - S. 501-514
Keywords: Directed sets; Set-valued derivatives; Differences of convex sets and their visualization; Affine, semi-affine, quasi-affine maps; Embedding of convex compact sets into a vector space; Directed intervals
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5480-2
Date Deposited: 11 May 2021 11:01
Last Modified: 11 May 2021 11:01
URI: https://epub.uni-bayreuth.de/id/eprint/5480

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