Duality for vector optimization problems via a general scalarization

Radu Ioan Boţ, Sorin Mihai Grad

Research output: Contribution to journalArticlepeer-review

Abstract

Considering a vector optimization problem to which properly efficient solutions are defined by using convex cone-monotone scalarization functions, we attach to it, by means of perturbation theory, new vector duals. When the primal problem, the scalarization function and the perturbation function are particularized, different dual vector problems are obtained, some of them are already known in the literature. Weak and strong duality statements are delivered in each case.

Original languageEnglish
Pages (from-to)1269-1290
Number of pages22
JournalOptimization
Volume60
Issue number10-11
DOIs
Publication statusPublished - 1 Oct 2011
Externally publishedYes

Keywords

  • cone-monotone functions
  • cones
  • conjugate functions
  • vector duality

Fingerprint

Dive into the research topics of 'Duality for vector optimization problems via a general scalarization'. Together they form a unique fingerprint.

Cite this