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Journal of Global Optimization

, Volume 36, Issue 3, pp 401–423 | Cite as

A New Duality Approach to Solving Concave Vector Maximization Problems

  • Luc Dinh TheEmail author
  • Phong Thai Quynh
  • Volle Michel
Article

Abstract

We introduce a special class of monotonic functions with the help of support functions and polar sets, and use it to construct a scalarized problem and its dual for a vector optimization problem. The dual construction allows us to develop a new method for generating weak efficient solutions of a concave vector maximization problem and establish its convergence. Some numerical examples are given to illustrate the applicability of the method.

Keywords

Duality Polar set Multiobjective problem Weak efficient solution 

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Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  • Luc Dinh The
    • 1
    Email author
  • Phong Thai Quynh
    • 1
  • Volle Michel
    • 1
  1. 1.Department of MathematicsUniversity of AvignonAvignonFrance

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