Optimality Conditions in Vector Optimization

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Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the ...
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Mixed Type Duality for Multiobjective Optimization Problems with Set Constraints

Pp. 119-142 (24)

DOI: 10.2174/978160805110611001010119

Author(s): Riccardo Cambini and Laura Carosi


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.


Vector Optimization, Duality, Maximum Principle Conditions, Generalized Convexity, Set Constraints.