Chapter 9

Mixed type duality for multiobjective optimization problems with set constraints

Riccardo Cambini and Laura Carosi

Abstract

The aim of this chapter is to propose some pairs of dual programs where the pri- mal is a vector problem having a feasible region defined by a set constraint, equality and inequality constraints, while the duals can be classified as \mixed type" ones. The duality results are proved under suitable generalized concavity properties. In this light, the role of dierent kinds of generalized concavity properties will be deepened on.

Total Pages: 119-142 (24)

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