Abstract
We present some Farkas-type results for inequality systems involving finitely many convex constraints as well as convex max-functions. Therefore we use the dual of a minmax optimization problem. The main theorem and its consequences allows us to establish, as particular instances, some set containment characterizations and to rediscover two famous theorems of the alternative.
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Boţ, R., Wanka, G. Farkas-type Results for Max-functions and Applications. Positivity 10, 761–777 (2006). https://doi.org/10.1007/s11117-005-0003-4
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DOI: https://doi.org/10.1007/s11117-005-0003-4