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

Kaisa Miettinen and Marko M. Mäkelä

Mathematical Methods of Operations Research, 2001, vol. 53, issue 2, 233-245

Abstract: Efficient, weakly and properly Pareto optimal solutions of multiobjective 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. Copyright Springer-Verlag Berlin Heidelberg 2001

Keywords: Key words: Multiple criteria; weak efficiency; proper efficiency; contingent cone; normal cone (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/s001860000109

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