Radiant and coradiant dualities
Résumé
We associate a dual problem to a constrained optimization problem in which the objective is quasiconvex and either attains at 0 its global minimum or its global maximum. The attractive features of such a duality are that it does not require an additional parameter to set the dual and that the dual problem has a form which is similar to the one of the primal problem. We present conditions ensuring strong duality using separation properties. We relate our approach to the Lagrangian theory.
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