On cone characterizations of weak, proper and Pareto optimality in multiobjective optimization

On cone characterizations of weak, proper and Pareto optimality in multiobjective optimization

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Article ID: iaor20022009
Country: Germany
Volume: 53
Issue: 2
Start Page Number: 233
End Page Number: 245
Publication Date: Jan 2001
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Abstract:

Efficient, weakly and properly Pareto optimal solutions of multi-objective optimization problems can be characterized with the help of different cones. Here, contingent, tangent and normal cones as well as cones of feasible directions are used in the characterizations. The results are first presented in convex cases and then generalized to nonconvex cases by employing local concepts.

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