On duality theory in multiobjective programming

  • D. T. Luc
Contributed Papers


In this paper, we study different vector-valued Lagrangian functions and we develop a duality theory based upon these functions for nonlinear multiobjective programming problems. The saddle-point theorem and the duality theorem are derived for these problems under appropriate convexity assumptions. We also give some relationships between multiobjective optimizations and scalarized problems. A duality theory obtained by using the concept of vector-valued conjugate functions is discussed.

Key Words

Lagrangian functions M-convexity saddle points Slater's constraint qualification dual functions conjugate functions 


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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

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

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