The Farkas lemma of Shimizu, Aiyoshi and Katayama
- 1 June 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 31 (3) , 445-450
- https://doi.org/10.1017/s0004972700009400
Abstract
Shimizu, Aiyoshi and Katayama have recently given a finite dimensional generalization of the classical Farkas Lemma. In this note we show that a result of Pshenichnyi on convex programming can be used to give a generalization of the result of Shimizu, Aiyoshi and Katayama to infinite dimensional spaces. A generalized Farkas Lemma of Glover is also obtained.Keywords
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