A Note on First-Order Sufficient Optimality Conditions for Pareto Problems

Abstract

We take into consideration the first-order sufficient conditions, established by Jiménez and Novo (Numer. Funct. Anal. Optim. 2002; 23:303–322) for strict local Pareto minima. We give here a more operative condition for a strict local Pareto minimum of order 1.

Keywords:

• First-order sufficient optimality conditions
• Multiobjective programming
• Strict local Pareto minimum

AMS Subject Classification:

• 90C29
• 90C46

ACKNOWLEDGMENTS

This work has been supported (for the second and third authors) by the Spanish Ministry of Education and Science under projects MTM2006-02629 and Ingenio Mathematica (i-MATH) CSD2006-00032 (Consolider – Ingenio 2010).