Optimality conditions for approximate Pareto solutions of a nonsmooth vector optimization problem with an infinite number of constraints
Optimization and Control
2019-05-14 v2
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.
Keywords
Cite
@article{arxiv.1808.10100,
title = {Optimality conditions for approximate Pareto solutions of a nonsmooth vector optimization problem with an infinite number of constraints},
author = {Ta Quang Son and Nguyen Van Tuyen and Ching-Feng Wen},
journal= {arXiv preprint arXiv:1808.10100},
year = {2019}
}
Comments
14 pages