Higher-order necessary and sufficient conditions for strict local pareto minima in terms of Studniarski's derivatives

Abstract

In this article, we establish higher-order necessary and sufficient conditions for strict local Pareto minima of nonsmooth multiobjective programing problems in terms of Studniarski's derivatives of higher order.

Keywords:

• strict local pareto minimum
• studniarski derivatives
• higher-order optimality conditions

2000 Mathematics Subject Classifications::

• 90c46
• 90c29

Acknowledgement

The author thanks the referees for their valuable comments. This research was partially supported by the Natural Science Council of Vietnam.