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The Farkas lemma of Shimizu, Aiyoshi and Katayama

Published online by Cambridge University Press:  17 April 2009

Charles Swartz
Charles Swartz
Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 3 , June 1985 , pp. 445 - 450
Copyright
Copyright © Australian Mathematical Society 1985

References

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