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arXiv · 1808.10100

Optimality conditions for approximate Pareto solutions of a nonsmooth vector optimization problem with an infinite number of constraints

Ta Quang Son·Nguyen Van Tuyen·Ching-Feng Wen
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Abstract

In this paper, we present some new necessary and sufficient optimality conditions in terms of the Clarke subdifferentials for approximate Pareto solutions of a nonsmooth vector optimization problem which has an infinite number of constraints. As a consequence, we obtain optimality conditions for the particular cases of cone-constrained convex vector optimization problems and semidefinite vector optimization problems. Examples are given to illustrate the obtained results.

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Ta Quang Son, Nguyen Van Tuyen, Ching-Feng Wen. 2018-08-30. Optimality conditions for approximate Pareto solutions of a nonsmooth vector optimization problem with an infinite number of constraints. https://arxiv.org/abs/1808.10100

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