Characterizations of solution sets of convex vector minimization problems

  title={Characterizations of solution sets of convex vector minimization problems},
  author={Vaithilingam Jeyakumar and G. M. Lee and N. Dinh},
  journal={European Journal of Operational Research},
Complete dual characterizations of the weak and proper optimal solution sets of an infinite dimensional convex vector minimization problem are given. The results are expressed in terms of subgradients, Lagrange multipliers and epigraphs of conjugate functions. A dual condition characterizing the containment of a closed convex set, defined by a cone-convex inequality, in a reverse-convex set, plays a key role in deriving the results. Simple Lagrange multiplier characterizations of the solution… CONTINUE READING

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