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arXiv · 1909.09795

Second-order optimality conditions for multiobjective optimization problems with constraints

Nguyen Quang Huy·Bui Trong Kien·Gue Myung Lee·Nguyen Van Tuyen
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Abstract

In this paper, we introduce the second-order subdifferentials for functions which are Gâteaux differentiable on an open set and whose Gâteaux derivative mapping is locally Lipschitz. Based on properties of this kind of second-order subdifferentials and techniques of variational analysis, we derive second-order necessary conditions for weak Pareto efficient solutions of multiobjective programming problems with constraints.

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Nguyen Quang Huy, Bui Trong Kien, Gue Myung Lee, Nguyen Van Tuyen. 2019-09-21. Second-order optimality conditions for multiobjective optimization problems with constraints. https://arxiv.org/abs/1909.09795

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