Abstract
A theorem of the alternative is stated for generalized systems. It is shown how to deduce, from such a theorem, known optimality conditions like saddle-point conditions, regularity conditions, known theorems of the alternative, and new ones. Exterior and interior penalty approaches, weak and strong duality are viewed as weak and strong alternative, respectively.
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Communicated by I. Galligani
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Giannessi, F. Theorems of the alternative and optimality conditions. J Optim Theory Appl 42, 331–365 (1984). https://doi.org/10.1007/BF00935321
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DOI: https://doi.org/10.1007/BF00935321