A universal theorem of the alternative

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F21%3AA0000187" target="_blank" >RIV/47813059:19520/21:A0000187 - isvavai.cz</a>
Result on the web
<a href="https://www.researchgate.net/publication/353741535_A_universal_theorem_of_the_alternative" target="_blank" >https://www.researchgate.net/publication/353741535_A_universal_theorem_of_the_alternative</a>
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
A universal theorem of the alternative
Original language description
We present a particular theorem of the alternative for finite systems of linear inequalities. The theorem is universal in the sense that other clas-sical theorems of the alternative (Motzkin’s Theorem and Tucker’s The-orem) are implicit in it; the theorem itself is an extension of Farkas’ Lemma. The presented result also generalizes and unifies both Dax’s new theorem the alternative [Dax, A. (1993). Annals of Operations Re-search, 46, 11–60] and Rohn’s residual existence theorem for linear equations [Rohn, J. (2010). Optimization Letters, 4, 287–292]. The universal theorem of the alternative is established by using Farkas’ Lemma in the setting of a vector space over a linearly ordered (commu-tative or skew) field.
Czech name
—
Czech description
—

Project
<a href="/en/project/GA21-03085S" target="_blank" >GA21-03085S: Supporting Decision Processes with Pairwise Comparisons and Data Mining</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 14th International Conference on Strategic Management and its Support by Information Systems 2021
ISBN
9788024845210
ISSN
2570-5776
e-ISSN
—
Number of pages
8
Pages from-to
25-32
Publisher name
VŠB – Technical University of Ostrava, Faculty of Economics
Place of publication
Ostrava
Event location
on-line
Event date
May 25, 2021
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
—

Similar results(10)