On the domination property in vector optimization

  • D. T. Luc
Technical Note


An example is given to show the inadequacy of the result of Ref. 1 concerning the domination property of a convex vector maximization problem with respect to cones. A necessary and sufficient condition for the domination property to hold is supplied.

Key Words

Vector maximization efficient points proper efficiency 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Benson, H. P.,On a Domination Property for Vector Maximization with Respect to Cones, Journal of Optimization Theory and Applications, Vol. 39, pp. 125–132, 1983.Google Scholar
  2. 2.
    Henig, M. I.,Existence and Characterization of Efficient Decisions with Respect to Cones, Mathematical Programming, Vol. 23, pp. 111–116, 1982.Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • D. T. Luc
    • 1
  1. 1.Computer and Automation InstituteHungarian Academy of SciencesBudapestHungary

Personalised recommendations