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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Duality theorems and theorems of the alternative


Author: L. McLinden
Journal: Proc. Amer. Math. Soc. 53 (1975), 172-175
MSC: Primary 90C30; Secondary 49B40
DOI: https://doi.org/10.1090/S0002-9939-1975-0395848-1
MathSciNet review: 0395848
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Abstract: It is shown, in a completely general setting, that a theorem of the alternative is logically equivalent to a duality theorem linking two constrained optimization problems.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0395848-1
Keywords: Transposition theorems, dual extremum problems
Article copyright: © Copyright 1975 American Mathematical Society