Unilateral Analysis and Duality

We introduce one-sided versions of Lagrangians and perturbations. We relate them, using concepts from generalized convexity. In such a way, we are able to present the main features of duality theory in a general framework encompassing numerous special instances. We focus our attention on the set of multipliers. We look for an interpretation of multipliers as generalized derivatives of the performance function associated with a dualizing parameterization of the given problem.

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