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

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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.

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Authors and Affiliations

  1. Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35 (Agora), FIN-40351 Jyväskylä, Finland (e-mail: {miettine,makela}@mit.jyu.fi), , , , , , FI

    Kaisa Miettinen & Marko M. Mäkelä

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  1. Kaisa Miettinen
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  2. Marko M. Mäkelä
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Manuscript received: August 2000/Final version received: October 2000

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Miettinen, K., Mäkelä, M. On cone characterizations of weak, proper and Pareto optimality in multiobjective optimization. Mathematical Methods of OR 53, 233–245 (2001). https://doi.org/10.1007/s001860000109

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  • DOI: https://doi.org/10.1007/s001860000109

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