Extending the classical vector wolfe and mond-weir duality concepts via perturbations

Radu Ioan Boţ, Sorin Mihai Grad

Research output: Contribution to journalArticlepeer-review

Abstract

Considering a general vector optimization problem, we attach to it by means of perturbation theory new vector duals. When the primal problem and the perturbation function are particularized different vector dual problems are obtained. In the special case of a constrained vector optimization problem the classical Wolfe and Mond-Weir duals to the latter, respectively, can be obtained from the general ones by using the Lagrange perturbation.

Original languageEnglish
Pages (from-to)81-101
Number of pages21
JournalJournal of Nonlinear and Convex Analysis
Volume12
Issue number1
Publication statusPublished - 1 Apr 2011
Externally publishedYes

Keywords

  • Conjugate functions
  • Convex subdifferentials
  • Mond-Weir duality
  • Vector duality
  • Wolfe duality

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